Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Jim Coykendall"'
Autor:
Saba Al-Kaseasbeh, Jim Coykendall
Publikováno v:
Communications in Algebra. :1-21
In this paper we examine some natural ideal conditions and show how graphs can be defined that give a visualization of these conditions. We examine the interplay between the multiplicative ideal theory and the graph theoretic structure of the associa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b479d52464e56a48a06378398a78cdf
https://doi.org/10.1080/00927872.2023.2187625
https://doi.org/10.1080/00927872.2023.2187625
Autor:
Jim Coykendall, Tridib Dutta
Publikováno v:
Journal of Algebra and Its Applications.
The SFT (for strong finite type) condition was introduced by [J. T. Arnold, Krull dimension in power series rings, Trans. Amer. Math. Soc. 177 (1973) 299–304] in the context of studying the condition for formal power series rings to have finite Kru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6f52404d3aa226e127d108395500e54
https://doi.org/10.1142/s0219498824501226
https://doi.org/10.1142/s0219498824501226
Publikováno v:
Proceedings of the Design Society. 1:293-302
The objective of this paper is to present a mathematically grounded description of the two topological spaces for the design problem and the design solution. These spaces are derived in a generalized form such that they can be applied by researchers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28d0e0116c02ef494c182f0bd7da35ac
https://doi.org/10.1017/pds.2021.30
https://doi.org/10.1017/pds.2021.30
If every subring of an integral domain is atomic, then we say that the latter is hereditarily atomic. In this paper, we study hereditarily atomic domains. First, we characterize when certain direct limits of Dedekind domains are Dedekind domains in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c73d0e9625ce8cfa82c9fe5340c225c
http://arxiv.org/abs/2112.00264
http://arxiv.org/abs/2112.00264
Autor:
Jim Coykendall, Felix Gotti
Publikováno v:
Journal of Algebra. 539:138-151
Let M be a commutative cancellative monoid, and let R be an integral domain. The question of whether the monoid ring R [ x ; M ] is atomic provided that both M and R are atomic dates back to the 1980s. In 1993, Roitman gave a negative answer to the q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4150f927666df18a26d6c441d8cae406
https://doi.org/10.1016/j.jalgebra.2019.07.033
https://doi.org/10.1016/j.jalgebra.2019.07.033
Autor:
Jason Greene Boynton, Jim Coykendall
Publikováno v:
Journal of Pure and Applied Algebra. 223:619-625
We find necessary and sufficient conditions on a pullback diagram in order that every nonzero nonunit in its pullback ring admits a finite factorization into irreducible elements. As a result, we can describe a method of easily producing atomic domai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d2d9ab109d78711fc06bec6ea89d73b
https://doi.org/10.1016/j.jpaa.2018.04.010
https://doi.org/10.1016/j.jpaa.2018.04.010
An atomic monoid $M$ is called a length-factorial monoid (or an other-half-factorial monoid) if for each non-invertible element $x \in M$ no two distinct factorizations of $x$ have the same length. The notion of length-factoriality was introduced by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61526ab2be3b0ac101d3f0000f56013f
http://arxiv.org/abs/2101.05441
http://arxiv.org/abs/2101.05441
Autor:
Ayman Badawi, Jim Coykendall
This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6–9
Publikováno v:
Glasgow Mathematical Journal. 60:401-409
We construct a norm on the nonzero elements of a Prüfer domain and extend this concept to the set of ideals of a Prüfer domain. These norms are used to study factorization properties Prüfer of domains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dae105e71e9296a2c6d4710fec28a7df
https://doi.org/10.1017/s0017089517000179
https://doi.org/10.1017/s0017089517000179
Autor:
Ayman Badawi, Jim Coykendall
This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to off