Results 21 to 30 of about 21,622,505 (140)

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

Categories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi, Abdollah Alhevaz, Eshag Yoonesian   +2 more
doaj  

A Note on Weakly S-Noetherian Rings

, 2020
Let R be a commutative ring with identity and S a (not necessarily saturated) multiplicative subset of R. We call the ring R to be a weakly S-Noetherian ring if every S-finite proper ideal of R is an S-Noetherian R-module.
Jung Wook Lim, Dong Kyu Kim
core   +1 more source

Some Properties of Serre Subcategories in the Graded Local Cohomology Modules

Journal of Mathematics, 2017
Let R=⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R-module. Let HR+i(M) be the ith local cohomology module of M with respect to R+=⊕n>0Rn.
Feysal Hassani, Rasul Rasuli
doaj   +1 more source

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
core   +1 more source

LINKAGE AND DUALITY OF MODULES [PDF]

, 2009
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
core   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj   +1 more source

The DGA of planar loops when 2n=4$2n=4$

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
wiley   +1 more source

Invariant algebras and completely reducible representations [PDF]

, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source