Results 31 to 40 of about 30,010 (264)
On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
doaj +1 more source
Computing nilpotent quotients in finitely presented Lie rings [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
doaj +2 more sources
On equivalence of graded rings
International Journal of Mathematics and Mathematical Sciences, 1998 Let R=⊕g∈GRg be a G-graded ring. In this paper we define the homogeneousequivalence concept between graded rings. We discuss some properties of the G-graded rings and investigate which of these are preserved under homogeneous-equivalence maps ...
Mashhoor Refai, Sofyan Obiedat
doaj +1 more source
Parabolic-Index Ring-Core Fiber Supporting High-Purity Orbital Angular Momentum Modes
Sensors, 2023 We design a graded-index ring-core fiber with a GeO2-doped silica ring core and SiO2 cladding. This fiber structure can inhibit the effect of spin-orbit coupling to mitigate the power transfer among different modes and eventually enhance the orbital ...
Yuanpeng Liu +7 more
doaj +1 more source
The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we completely classify.
Daniele Faenzi, Joan Pons-Llopis
doaj +1 more source
On the union of graded prime ideals
Open Physics, 2016 In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family ...
Uregen Rabia Nagehan +2 more
doaj +1 more source
International Electronic Journal of Algebra, 2020 Summary: In this paper, graded rings are \(S\)-graded rings inducing \(S\),that is, rings whose additive groups can be written as a direct sum of a family of their additive subgroups indexed by a nonempty set \(S\), and such that the product of two homogeneous elements is again a homogeneous element.
openaire +4 more sources
Localization in a Graded Ring [PDF]
Proceedings of the American Mathematical Society, 1961 No abstract.
openaire +1 more source
Differential Calculus on N-Graded Manifolds
Journal of Mathematics, 2017 The differential calculus, including formalism of linear differential operators and the Chevalley–Eilenberg differential calculus, over N-graded commutative rings and on N-graded manifolds is developed.
G. Sardanashvily, W. Wachowski
doaj +1 more source
Journal of Algebra, 1995 Let \({\mathcal K}\) be a class of rings which is closed under homomorphic images, ring extensions, one-sided ideals and contains all rings with zero multiplication. Rings \(R=\bigoplus_{s\in S} R_s\) graded by finite groupoids \(S\) are considered. It is shown that the condition: for all finite groupoids \(S\) and all \(S\)-graded rings \(R\), \(R ...
openaire +2 more sources