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pro vyhledávání: '"Jason Greene Boynton"'
Autor:
Jason Greene Boynton
Publikováno v:
Communications in Algebra. 47:1608-1618
We investigate the behavior of (strong) Prufer rings in a general pullback diagram. We also consider three new Prufer conditions introduced by Klingler, Lucas, and Sharma.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd968b3236debf5ec34e2e45dce26dd8
https://doi.org/10.1080/00927872.2018.1508588
https://doi.org/10.1080/00927872.2018.1508588
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
Autor:
Jason Greene Boynton, Jim Coykendall
Publikováno v:
Canadian Mathematical Bulletin. 58:449-458
It is well-known that the factorization properties of a domain are reflected in the structure of its group of divisibility. The main theme of this paper is to introduce a topological/graph-theoretic point of view to the current understanding of facto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85bc5cca9ed9592025792ec6aff17dde
https://doi.org/10.4153/cmb-2014-065-0
https://doi.org/10.4153/cmb-2014-065-0
Autor:
Xinmin Lu, Jason Greene Boynton
Publikováno v:
Communications in Algebra. 42:4047-4054
We introduce a type of commutative ring R in which its ideal lattice has a strong form of the distributive property. We show that if R is reduced, then it is a semilocal von Neumann regular ring. In this case, we show that the K 1 group of this ring
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9aa1733ae0ec8718cdac5e488620f439
https://doi.org/10.1080/00927872.2013.804924
https://doi.org/10.1080/00927872.2013.804924
Autor:
Jason Greene Boynton
Publikováno v:
Communications in Algebra. 39:1624-1630
In this article, we consider two of the five well-studied extensions of the Prufer domain notion to arbitrary commutative rings. In particular, we consider a class of rings that lies properly between Gaussian and Prufer rings. We give a characterizat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a743718bfa91b8e9709008a79653ae95
https://doi.org/10.1080/00927871003738931
https://doi.org/10.1080/00927871003738931
Autor:
Jason Greene Boynton
Publikováno v:
Journal of Algebra. 320(6):2559-2566
In this paper we consider five extensions of the Prufer domain notion to commutative rings with zero-divisors and investigate their behavior in a special type of pullback called a conductor square. That is, for a pair of rings R ⊂ T with non-zero c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44eb03a546ae3acd3cc2f5a561a9dcc3
We investigate the behavior of four coherent-like conditions in regular conductor squares. In particular, we find necessary and sufficient conditions in order that a pullback ring be a finite conductor ring, a coherent ring, a generalized GCD ring, o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87dd1442938791fb2cb4bca049c0ae54
