Results 11 to 20 of about 11,543 (300)
On properties of graded rings and graded modules
Proyecciones (Antofagasta), 2022 Let R be a G-graded ring. In this article, we introduce two new concepts on graded rings, namely, weakly graded rings and invertible graded rings, and we discuss the relations between these concepts and several properties of graded rings. Also, we study the concept of weakly crossed products and study some properties defined on weakly crossed product ...
Refai, Mashhoor, Abu-Dawwas, Rashid
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana +2 more
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On equivalence of graded rings [PDF]
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
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On graded \(J\)-ideals over graded rings [PDF]
, 2023 Summary: The goal of this article is to present the graded \(J\)-ideals of \(G\)-graded rings which are extensions of \(J\)-ideals of commutative rings. A graded ideal \(P\) of a \(G\)-graded ring \(R\) is a graded \(J\)-ideal if whenever \(x,y\in h(R)\), if \(xy\in P\) and \(x\not\in J(R)\), then \(y\in P\), where \(h(R)\) and \(J(R)\) denote the set ...
Al-Shorman, Tamem +2 more
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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.
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Banach Journal of Mathematical Analysis, 2015 Consider a pseudo-$H$-space $E$ endowed with a separately continuous biadditive associative multiplication which induces a grading on $E$ with respect to an abelian group $G$. We call such a space a graded pseudo-$H$-ring and we show that it has the form $E = cl(U + \sum_j I_j)$ with $U$ a closed subspace of $E_1$ (the summand associated to the unit ...
Calderón Martín, Antonio Jesús +3 more
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Groupoid graded semisimple rings
Journal of Algebra88 ...
Zaqueu Cristiano +2 more
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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
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On graded Jgr-classical 2-absorbing submodules of graded modules over graded commutative rings
Demonstratio Mathematica, 2021 Let G be an abelian group with identity ee. Let R be a G-graded commutative ring with identity 1, and MM be a graded R-module. In this paper, we introduce the concept of graded Jgr{J}_{gr}-classical 2-absorbing submodule as a generalization of a graded ...
Al-Zoubi Khaldoun, Alghueiri Shatha
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K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories [PDF]
Categories and General Algebraic Structures with Applications, 2022 We build on previous work on multirings ([17]) that providesgeneralizations of the available abstract quadratic forms theories (specialgroups and real semigroups) to the context of multirings ([10], [14]).
Kaique Roberto, Hugo Mariano
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