Results 71 to 80 of about 87,285 (205)
VIC-modules over noncommutative rings
, 2020 For a finite ring $R$, not necessarily commutative, we prove that the category of $\text{VIC}(R)$-modules over a left Noetherian ring $\mathbf{k}$ is locally Noetherian, generalizing a theorem of the authors that dealt with commutative $R$.
Putman, Andrew, Sam, Steven V
core
S-almost perfect commutative rings [PDF]
Journal of Algebra, 2019 Given a multiplicative subset $S$ in a commutative ring $R$, we consider $S$-weakly cotorsion and $S$-strongly flat $R$-modules, and show that all $R$-modules have $S$-strongly flat covers if and only if all flat $R$-modules are $S$-strongly flat. These equivalent conditions hold if and only if the localization $R_S$ is a perfect ring and, for every ...
Silvana Bazzoni, Leonid Positselski
openaire +4 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Ring homomorphisms on real Banach algebras
International Journal of Mathematics and Mathematical Sciences, 2003 Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj +1 more source
Unitary Invertible Graphs of Finite Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
doaj +1 more source
Journal of Algebra, 2001 In a previous article, the author introduced a noncommutative concept of Cohen-Macaulay ring based on invertible ideals rather than invertible elements [J. Algebra 236, No. 2, 522-548 (2001; Zbl 0982.16008)]; here he narrows the focus to a corresponding notion of regular (semi)local ring.
openaire +1 more source
Stability in Commutative Rings
TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: Let \(R\) be a commutative ring with zero-divisors and \(I\) an ideal of \(R\). \(I\) is said to be ES-stable if \(JI = I^2\) for some invertible ideal \(J\subseteq I\), and \(I\) is said to be a weakly ES-stable ideal if there is an invertible fractional ideal \(J\) and an idempotent fractional ideal \(E\) of \(R\) such that \(I = JE\).
openaire +2 more sources
Developmental Neurobiology, Volume 86, Issue 3, July 2026.ABSTRACT Rett syndrome is a neurodevelopmental disorder caused by an X‐linked mutation of the MeCP2 gene. Individuals with Rett syndrome, as well as rodent models of this disorder, demonstrate abnormal cortical responses to sound, which impair auditory discrimination ability.
Isabella K. Myers +6 more
wiley +1 more source
Ideal Dasar Prima Dalam Aljabar Atas Suatu Ring Komutatif
Jurnal Fourier, 2018 Definisi ideal dasar dan ideal bebas dalam aljabar bebas atas ring komutatif dengan elemen satuan adalah ekuivalen. Namun, ideal dasar dalam suatu aljabar tak bebas belum tentu merupakan ideal bebas, sementara ideal bebas pasti ideal dasar.
Khurul Wardati
doaj +1 more source
The Zero Divisor Graphs of a finite Certain Rings [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
doaj +1 more source