Advanced search
Publication Cover
Communications in Algebra Volume 27, 1999 - Issue 12
Submit an article Journal homepage
66
Views
24
CrossRef citations to date
0
Altmetric
Original Articles

On integral domains with no atoms

Jim Coykendall Department of Mathematics, North Dakota State University, Fargo, North Dakota, 58105-5075
,
David E. Dobbs Department of Mathematics, University of Tennessee, Knoxville, Tennessee, 37996-1300
&
Bernadette Mullins Depatment of Mathematics and Statistics, Youngstown State University, Youngstown, Ohio, 44555-3302
Pages 5813-5831 | Received 01 Apr 1998, Published online: 05 Jul 2007

Citations (24)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Felix Gotti. (2022) On semigroup algebras with rational exponents. Communications in Algebra 50:1, pages 3-18.
Read now
Maria Bras-Amoros & Marly Gotti. (2021) Atomicity and density of Puiseux monoids. Communications in Algebra 49:4, pages 1560-1570.
Read now
Noah Lebowitz-Lockard. (2019) On domains with properties weaker than atomicity. Communications in Algebra 47:5, pages 1862-1868.
Read now
Sina Eftekhari & Mahdi Reza Khorsandi. (2018) MCD-finite Domains and Ascent of IDF Property in Polynomial Extensions. Communications in Algebra 46:9, pages 3865-3872.
Read now
Jim Coykendall, Peter Malcolmson & Frank Okoh. (2013) On Fragility of Generalizations of Factoriality. Communications in Algebra 41:9, pages 3355-3375.
Read now
Paul Baginski & Scott T. Chapman. (2011) Factorizations of Algebraic Integers, Block Monoids, and Additive Number Theory. The American Mathematical Monthly 118:10, pages 901-920.
Read now
DavidE. Dobbs & Gabriel Picavet. (2009) Straight Rings. Communications in Algebra 37:3, pages 757-793.
Read now
D. D. Anderson, J. Coykendall, L. Hill & M. Zafrullah. (2007) Monoid Domain Constructions of Antimatter Domains. Communications in Algebra 35:10, pages 3236-3241.
Read now

Articles from other publishers (16)

Jim Coykendall, Felix Gotti & Richard Erwin Hasenauer. (2023) Hereditary atomicity in integral domains. Journal of Pure and Applied Algebra 227:4, pages 107249.
Crossref
Mohamed Benelmekki & Said El Baghdadi. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 87 98 .
Felix Gotti & Harold Polo. 2023. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory. Algebraic, Number Theoretic, and Topological Aspects of Ring Theory 197 212 .
Nicholas R. Baeth, Scott T. Chapman & Felix Gotti. (2021) Bi-atomic classes of positive semirings. Semigroup Forum 103:1, pages 1-23.
Crossref
D. D. Anderson & K. Bombardier. (2020) Atoms in quasilocal integral domains and Cohen–Kaplansky domains. Journal of Algebra and Its Applications 20:06, pages 2150110.
Crossref
Felix Gotti. (2019) Increasing positive monoids of ordered fields are FF-monoids. Journal of Algebra 518, pages 40-56.
Crossref
John D. LaGrange. 2019. Advances in Commutative Algebra. Advances in Commutative Algebra 217 244 .
Felix Gotti & Marly Gotti. (2017) Atomicity and boundedness of monotone Puiseux monoids. Semigroup Forum 96:3, pages 536-552.
Crossref
Felix Gotti. (2016) On the atomic structure of Puiseux monoids. Journal of Algebra and Its Applications 16:07, pages 1750126.
Crossref
Richard Erwin Hasenauer. (2016) Normsets of almost Dedekind domains and atomicity. Journal of Commutative Algebra 8:1.
Crossref
DAVID EARL DOBBS & JAY ALLEN SHAPIRO. (2015) Some Analogues of a Result of Vasconcelos. Kyungpook mathematical journal 55:4, pages 817-826.
Crossref
Jason Juett. (2014) Two counterexamples in abstract factorization. Rocky Mountain Journal of Mathematics 44:1.
Crossref
Gary Brookfield & David E. Rush. (2008) Convex Polytopes and Factorization Properties in Generalized Power Series Domains. Rocky Mountain Journal of Mathematics 38:6.
Crossref
Jim Coykendall & Muhammad Zafrullah. (2004) AP-domains and unique factorization. Journal of Pure and Applied Algebra 189:1-3, pages 27-35.
Crossref
Jim Coykendall & David Dobbs. (2001) Fragmented domains have infinite Krull dimension. Rendiconti del Circolo Matematico di Palermo 50:2, pages 377-388.
Crossref
David E. Dobbs. 2000. Non-Noetherian Commutative Ring Theory. Non-Noetherian Commutative Ring Theory 139 168 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.