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Clemson University

1. Goodell, Brandon G. Assessing Non-Atomicity in Groups of Divisibility.

Degree: PhD, Mathematical Sciences, 2017, Clemson University

URL: https://tigerprints.clemson.edu/all_dissertations/1901

► An *integral* domain D is atomic if every non-zero non-unit is a product of irreducibles. More generally, D is quasi-atomic if every non-zero non-unit…
(more)

Subjects/Keywords: factorization; integral domains; partially ordered groups

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APA (6^{th} Edition):

Goodell, B. G. (2017). Assessing Non-Atomicity in Groups of Divisibility. (Doctoral Dissertation). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_dissertations/1901

Chicago Manual of Style (16^{th} Edition):

Goodell, Brandon G. “Assessing Non-Atomicity in Groups of Divisibility.” 2017. Doctoral Dissertation, Clemson University. Accessed August 10, 2020. https://tigerprints.clemson.edu/all_dissertations/1901.

MLA Handbook (7^{th} Edition):

Goodell, Brandon G. “Assessing Non-Atomicity in Groups of Divisibility.” 2017. Web. 10 Aug 2020.

Vancouver:

Goodell BG. Assessing Non-Atomicity in Groups of Divisibility. [Internet] [Doctoral dissertation]. Clemson University; 2017. [cited 2020 Aug 10]. Available from: https://tigerprints.clemson.edu/all_dissertations/1901.

Council of Science Editors:

Goodell BG. Assessing Non-Atomicity in Groups of Divisibility. [Doctoral Dissertation]. Clemson University; 2017. Available from: https://tigerprints.clemson.edu/all_dissertations/1901

University of Louisville

2.
Gipson, Ryan H.
Factorization in *integral* *domains*.

Degree: PhD, 2018, University of Louisville

URL: 10.18297/etd/3056 ; https://ir.library.louisville.edu/etd/3056

► We investigate the atomicity and the AP property of the semigroup rings F[X; M], where F is a field, X is a variable and…
(more)

Subjects/Keywords: commutative algebra; integral domains; monoid domains; factorization; Algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Gipson, R. H. (2018). Factorization in integral domains. (Doctoral Dissertation). University of Louisville. Retrieved from 10.18297/etd/3056 ; https://ir.library.louisville.edu/etd/3056

Chicago Manual of Style (16^{th} Edition):

Gipson, Ryan H. “Factorization in integral domains.” 2018. Doctoral Dissertation, University of Louisville. Accessed August 10, 2020. 10.18297/etd/3056 ; https://ir.library.louisville.edu/etd/3056.

MLA Handbook (7^{th} Edition):

Gipson, Ryan H. “Factorization in integral domains.” 2018. Web. 10 Aug 2020.

Vancouver:

Gipson RH. Factorization in integral domains. [Internet] [Doctoral dissertation]. University of Louisville; 2018. [cited 2020 Aug 10]. Available from: 10.18297/etd/3056 ; https://ir.library.louisville.edu/etd/3056.

Council of Science Editors:

Gipson RH. Factorization in integral domains. [Doctoral Dissertation]. University of Louisville; 2018. Available from: 10.18297/etd/3056 ; https://ir.library.louisville.edu/etd/3056

University of North Texas

3.
Emerson, Sharon Sue.
Overrings of an *Integral* Domain.

Degree: 1992, University of North Texas

URL: https://digital.library.unt.edu/ark:/67531/metadc332679/

► This dissertation focuses on the properties of a domain which has the property that each ideal is a finite intersection of a π-ideal, the properties…
(more)

Subjects/Keywords: integral domains; commutative rings; mathematics; Integral domains.; Commutative rings.

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APA (6^{th} Edition):

Emerson, S. S. (1992). Overrings of an Integral Domain. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc332679/

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Emerson, Sharon Sue. “Overrings of an Integral Domain.” 1992. Thesis, University of North Texas. Accessed August 10, 2020. https://digital.library.unt.edu/ark:/67531/metadc332679/.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Emerson, Sharon Sue. “Overrings of an Integral Domain.” 1992. Web. 10 Aug 2020.

Vancouver:

Emerson SS. Overrings of an Integral Domain. [Internet] [Thesis]. University of North Texas; 1992. [cited 2020 Aug 10]. Available from: https://digital.library.unt.edu/ark:/67531/metadc332679/.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Emerson SS. Overrings of an Integral Domain. [Thesis]. University of North Texas; 1992. Available from: https://digital.library.unt.edu/ark:/67531/metadc332679/

Not specified: Masters Thesis or Doctoral Dissertation

4.
Kirk, Susan.
Restoring Factorization in *Integral* * Domains*.

Degree: MS, Mathematical Sciences, 2015, Virginia Commonwealth University

URL: https://doi.org/10.25772/EZ82-H622 ; https://scholarscompass.vcu.edu/etd/3850

This is an expository thesis on integral domains which are not unique factorization domains. We focus on restoring a type of unique factorization using prime ideals within quadratic integer rings. In particular, we examine which quadratic integer rings will admit such factorization.
*Advisors/Committee Members: Dr. Dewey Taylor.*

Subjects/Keywords: integral domains; factorization

…divisor.
1.2 *Integral* *Domains*
The type of rings that will be of focus in this paper are… …R is finitely generated.
Example 17 The *integral* *domains* Z
√
√
−19 and Z −43 are examples… …either
r = 0 or N(r) < N(b).
Euclidean *Domains* are *integral* *domains*… …structure to highest we have: Rings, *Integral* *Domains*, Unique Factorization *Domains* (UFD)… …in *Integral* *Domains*
Every positive integer has a unique prime factorization, however, many…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Kirk, S. (2015). Restoring Factorization in Integral Domains. (Thesis). Virginia Commonwealth University. Retrieved from https://doi.org/10.25772/EZ82-H622 ; https://scholarscompass.vcu.edu/etd/3850

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Kirk, Susan. “Restoring Factorization in Integral Domains.” 2015. Thesis, Virginia Commonwealth University. Accessed August 10, 2020. https://doi.org/10.25772/EZ82-H622 ; https://scholarscompass.vcu.edu/etd/3850.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kirk, Susan. “Restoring Factorization in Integral Domains.” 2015. Web. 10 Aug 2020.

Vancouver:

Kirk S. Restoring Factorization in Integral Domains. [Internet] [Thesis]. Virginia Commonwealth University; 2015. [cited 2020 Aug 10]. Available from: https://doi.org/10.25772/EZ82-H622 ; https://scholarscompass.vcu.edu/etd/3850.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kirk S. Restoring Factorization in Integral Domains. [Thesis]. Virginia Commonwealth University; 2015. Available from: https://doi.org/10.25772/EZ82-H622 ; https://scholarscompass.vcu.edu/etd/3850

Not specified: Masters Thesis or Doctoral Dissertation

University of Iowa

5.
Bombardier, Kevin Wilson.
Atoms in quasilocal *integral* * domains*.

Degree: PhD, Mathematics, 2019, University of Iowa

URL: https://ir.uiowa.edu/etd/6709

► Let R be an *integral* domain. An atom is a nonzero nonunit x of R where x = yz implies that either y or…
(more)

Subjects/Keywords: Atoms; CK; CK-Domain; Domains; Integral; Quasilocal; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Bombardier, K. W. (2019). Atoms in quasilocal integral domains. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/6709

Chicago Manual of Style (16^{th} Edition):

Bombardier, Kevin Wilson. “Atoms in quasilocal integral domains.” 2019. Doctoral Dissertation, University of Iowa. Accessed August 10, 2020. https://ir.uiowa.edu/etd/6709.

MLA Handbook (7^{th} Edition):

Bombardier, Kevin Wilson. “Atoms in quasilocal integral domains.” 2019. Web. 10 Aug 2020.

Vancouver:

Bombardier KW. Atoms in quasilocal integral domains. [Internet] [Doctoral dissertation]. University of Iowa; 2019. [cited 2020 Aug 10]. Available from: https://ir.uiowa.edu/etd/6709.

Council of Science Editors:

Bombardier KW. Atoms in quasilocal integral domains. [Doctoral Dissertation]. University of Iowa; 2019. Available from: https://ir.uiowa.edu/etd/6709

Univerzitet u Beogradu

6. Milovanović, Zorica D. 1981-. O nekim transmisionim problemima u disjunktnim oblastima.

Degree: Matematički fakultet, 2016, Univerzitet u Beogradu

URL: https://fedorabg.bg.ac.rs/fedora/get/o:11322/bdef:Content/get

►

Matematika - Numerička matematika / Mathematics -Numerical mathematics

U primenama, naročito u inženjerstvu, često se sreću kompozitne ili slojevite strukture, pri čemu se osobine pojedinih… (more)

Subjects/Keywords: transmission problem; disjoint domains; nonlocal integral conjugation conditions; Sobolev spaces; weak solution; a priori estimate; finite diferences; error; convergence.

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Milovanović, Z. D. 1. (2016). O nekim transmisionim problemima u disjunktnim oblastima. (Thesis). Univerzitet u Beogradu. Retrieved from https://fedorabg.bg.ac.rs/fedora/get/o:11322/bdef:Content/get

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Milovanović, Zorica D 1981-. “O nekim transmisionim problemima u disjunktnim oblastima.” 2016. Thesis, Univerzitet u Beogradu. Accessed August 10, 2020. https://fedorabg.bg.ac.rs/fedora/get/o:11322/bdef:Content/get.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Milovanović, Zorica D 1981-. “O nekim transmisionim problemima u disjunktnim oblastima.” 2016. Web. 10 Aug 2020.

Vancouver:

Milovanović ZD1. O nekim transmisionim problemima u disjunktnim oblastima. [Internet] [Thesis]. Univerzitet u Beogradu; 2016. [cited 2020 Aug 10]. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:11322/bdef:Content/get.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Milovanović ZD1. O nekim transmisionim problemima u disjunktnim oblastima. [Thesis]. Univerzitet u Beogradu; 2016. Available from: https://fedorabg.bg.ac.rs/fedora/get/o:11322/bdef:Content/get

Not specified: Masters Thesis or Doctoral Dissertation

7. Rand, Ashley Nicole. Multiplicative Sets of Atoms.

Degree: 2013, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/1772

► It is possible for an element to have both an atom factorization and a factorization that will always contain a reducible element. This leads us…
(more)

Subjects/Keywords: Factorization; Commutative Algebra; Integral Domains; Algebra

…Partial ordering of constructed *integral* *domains* . . . . . . . . . . . .
31
4 Polynomials and… …*integral* *domains* have been studied extensively. The
building blocks of factorization in *integral*… …*domains* are atoms and prime elements.
Definition 1.0.1. Let R be an *integral* domain.
1. A… …elements
of R. It follows that for all *integral* *domains* between atomic *domains* and UFDs, we
have… …leads us to consider
the set A(R) for *integral* *domains* which are not atomic…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Rand, A. N. (2013). Multiplicative Sets of Atoms. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/1772

Chicago Manual of Style (16^{th} Edition):

Rand, Ashley Nicole. “Multiplicative Sets of Atoms.” 2013. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed August 10, 2020. https://trace.tennessee.edu/utk_graddiss/1772.

MLA Handbook (7^{th} Edition):

Rand, Ashley Nicole. “Multiplicative Sets of Atoms.” 2013. Web. 10 Aug 2020.

Vancouver:

Rand AN. Multiplicative Sets of Atoms. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2013. [cited 2020 Aug 10]. Available from: https://trace.tennessee.edu/utk_graddiss/1772.

Council of Science Editors:

Rand AN. Multiplicative Sets of Atoms. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2013. Available from: https://trace.tennessee.edu/utk_graddiss/1772

8.
Hu, Hong.
Full-Potential *Integral* Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler * Domains*.

Degree: PhD, Mechanical & Aerospace Engineering, 1988, Old Dominion University

URL: https://digitalcommons.odu.edu/mae_etds/250

► The *integral* equation solution of the full-potential equation is presented for steady and unsteady transonic airfoil flow problems. The method is also coupled with…
(more)

Subjects/Keywords: Integral equation solutions; Euler domains; Transonic airfoils; Transonic flows; Aerospace Engineering

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hu, H. (1988). Full-Potential Integral Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler Domains. (Doctoral Dissertation). Old Dominion University. Retrieved from https://digitalcommons.odu.edu/mae_etds/250

Chicago Manual of Style (16^{th} Edition):

Hu, Hong. “Full-Potential Integral Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler Domains.” 1988. Doctoral Dissertation, Old Dominion University. Accessed August 10, 2020. https://digitalcommons.odu.edu/mae_etds/250.

MLA Handbook (7^{th} Edition):

Hu, Hong. “Full-Potential Integral Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler Domains.” 1988. Web. 10 Aug 2020.

Vancouver:

Hu H. Full-Potential Integral Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler Domains. [Internet] [Doctoral dissertation]. Old Dominion University; 1988. [cited 2020 Aug 10]. Available from: https://digitalcommons.odu.edu/mae_etds/250.

Council of Science Editors:

Hu H. Full-Potential Integral Solutions for Steady and Unsteady Transonic Airfoils With and Without Embedded Euler Domains. [Doctoral Dissertation]. Old Dominion University; 1988. Available from: https://digitalcommons.odu.edu/mae_etds/250

9. Walker, Robert. Uniform Symbolic Topologies in Non-Regular Rings.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/149907

► When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes – read, when does there exist an integer D>0 such that…
(more)

Subjects/Keywords: Symbolic Powers of Ideals in Noetherian Integral Domains; Rationally Singular Combinatorially Defined Algebras; Weil divisor class groups of Noetherian normal integral domains; Mathematics; Science

…these research directions, working with Noetherian *domains*.
vii
CHAPTER I
Introduction… …class of all excellent regular rings, or the class of
Cohen-Macaulay, normal *domains* of finite… …all Cohen-Macaulay,
normal *domains* of finite type over C with Krull dimension two and… …Chapter II, for example, that there are nice classes
of two-dimensional normal *domains* which… …rings and finite extensions of *domains*. The other direction as spearheaded by Brian Harbourne…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Walker, R. (2019). Uniform Symbolic Topologies in Non-Regular Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/149907

Chicago Manual of Style (16^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 10, 2020. http://hdl.handle.net/2027.42/149907.

MLA Handbook (7^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Web. 10 Aug 2020.

Vancouver:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 10]. Available from: http://hdl.handle.net/2027.42/149907.

Council of Science Editors:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/149907