Results 11 to 20 of about 450,444 (294)

EM− Graded Rings

Journal of Mathematics
The main goal of this article is to introduce the concept of EM−G− graded rings. This concept is an extension of the notion of EM− rings. Let G be a group, and R be a G− graded commutative ring.
Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas   +2 more
doaj   +4 more sources

When Are Graded Rings Graded S-Noetherian Rings [PDF]

Mathematics, 2020
Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
doaj   +2 more sources

Graded Rings Associated with Factorizable Finite Groups

Mathematics, 2023
Let R be an associative ring with unity, X be a finite group, H be a subgroup of X, and G be a set of left coset representatives for the left action of H on X.
Mohammed M. Al-Shomrani, Najla Al-Subaie
doaj   +3 more sources

Bandgap characteristics and optimization of two-dimensional phononic metamaterials with functionally graded rings [PDF]

Scientific Reports
This paper systematically investigates the influence of the thickness and power-law exponent of functionally graded rings (FGR) on the bandgap characteristics of two-dimensional (2D) phononic metamaterials (PMs). Based on the plane wave expansion method (
Qiangqiang Li, Jingya Wang
doaj   +2 more sources

On Primitive Ideals in Graded Rings [PDF]

Canadian Mathematical Bulletin, 2008
AbstractLet R = be a graded nil ring. It is shown that primitive ideals in R are homogeneous. Let A = be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A. It is shown that either I = ﹛0﹜ or I = A. Moreover, A is either primitive or Jacobson radical.
Smoktunowicz, Agata
openaire   +4 more sources

Rings Graded By a Generalized Group

Topological Algebra and its Applications, 2014
The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-
Fatehi Farzad, Molaei Mohammad Reza
doaj   +3 more sources

On the Stability of Graded Rings

Journal of Algebra, 1994
If \(R\) is a ring graded by the integers, which is noetherian and left graded regular, such that every finitely generated graded projective \(R\)- module is graded stably free, then it is shown that the corresponding ungraded property holds. Some applications to Rees rings of Zariskian filtered rings are given.
Li, H.S.
openaire   +3 more sources

Groupoid graded semisimple rings [PDF]

Journal of Algebra
88 ...
Zaqueu Cristiano, Wellington Marques de Souza, Javier Sánchez   +2 more
core   +4 more sources

Bimodules in Group Graded Rings

Algebras and Representation Theory, 2017
In this article we introduce the notion of a controlled group graded ring. Let $G$ be a group, with identity element $e$, and let $R=\oplus_{g\in G} R_g$ be a unital $G$-graded ring. We say that $R$ is $G$-controlled if there is a one-to-one correspondence between subsets of the group $G$ and (mutually non-isomorphic) $R_e$-bimodules in $R$, given by ...
Johan Öinert
exaly   +5 more sources

Lim Ulrich sequences and Boij-Söderberg cones

Forum of Mathematics, Sigma, 2023
This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting linear ...
Srikanth B. Iyengar, Linquan Ma, Mark E. Walker   +2 more
doaj   +1 more source