[图书][B] Rings, modules, and closure operations
J Elliott - 2019 - Springer
This book is a self-contained and systematic exposition of the various applications of closure
operations to both commutative and noncommutative algebra. Its primary goal is to apply …
operations to both commutative and noncommutative algebra. Its primary goal is to apply …
When C(X) is an h-local ring
P Bhattacharjee, A Epstein, WW McGovern… - Communications in …, 2024 - Taylor & Francis
An h-local domain is a domain for which each nonzero prime ideal is contained in a unique
maximal ideal and each nonzero element has finite character. In his dissertation, A. Omairi …
maximal ideal and each nonzero element has finite character. In his dissertation, A. Omairi …
On the prime spectrum of the amalgamations
Y Azimi - arXiv preprint arXiv:2411.16888, 2024 - arxiv.org
Let $ f: R\to S $ be a ring homomorphism and $ J $ be an ideal of $ S $. Then the subring $
R\bowtie^ fJ:=\{(r, f (r)+ j)\mid r\in R $ and $ j\in J\} $ of $ R\times S $ is called the …
R\bowtie^ fJ:=\{(r, f (r)+ j)\mid r\in R $ and $ j\in J\} $ of $ R\times S $ is called the …
Comaximal graph of amalgamated algebras along an ideal
Let R and S be commutative rings with identity, J be an ideal of S, and let f: R→ S be a ring
homomorphism. The amalgamation of R with S along J with respect to f denoted by R⋈ f J …
homomorphism. The amalgamation of R with S along J with respect to f denoted by R⋈ f J …
Elementary matrix reduction over J-stable rings
MS Abdolyousefi, H Chen - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A commutative ring R is J-stable provided that R∕ aR has stable range 1 for all
a∉ J (R). A commutative ring R in which every finitely generated ideal principal is called a B …
a∉ J (R). A commutative ring R in which every finitely generated ideal principal is called a B …
[PDF][PDF] CHARACTERIZATIONS OF GELFAND RINGS AND THEIR DUAL RINGS
A TARIZADEH, M AGHAJANI - arXiv preprint arXiv:1803.04817, 2018 - academia.edu
In this paper, new criteria for the maximality of primes, pm-rings, clean rings and mp-rings
are given. The equivalency of some of the classical criteria are also proved by new and …
are given. The equivalency of some of the classical criteria are also proved by new and …