Results 1 to 10 of about 903,684 (295)
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 +3 more sources
The free A-ring is a graded A-ring [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper, we define the free A-ring over K on a set X, categorically, and parallel some results from the theory of free algebras. We show that the free A-ring over K on X, denoted by AK{X}, is graded.
Roger D. Warren
doaj +4 more sources
Journal of MathematicsThe 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 +2 more
doaj +3 more sources
On Properties of Graded Rings and Graded Modules
Proyecciones, 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 ...
Rashid Abu-Dawwas, Mashhoor Refai
exaly +4 more sources
Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
doaj +2 more sources
On Graded Brown–McCoy Radicals of Graded Rings [PDF]
Journal of Algebra and Its Applications, 2016 We investigate the graded Brown–McCoy and the classical Brown–McCoy radical of a graded ring, which is the direct sum of a family of its additive subgroups indexed by a nonempty set, under the assumption that the product of homogeneous elements is again homogeneous.
Emil Ilić-Georgijević
exaly +4 more sources
On Graded Nil Clean Rings [PDF]
Communications in Algebra, 2018 In this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to graded matrix rings and to graded group rings. The question of when nil cleanness of the component, which corresponds to the neutral element of a group, implies graded nil ...
Emil Ilić-Georgijević
exaly +4 more sources
European Journal of Pure and Applied Mathematics, 2019 The G-weak graded rings are rings graded by a set G of left coset representatives for the left action of a subgroup H of a finite group X. The main aim of this article is to study the concept of G-weak graded rings and continue the investigation of their properties. Moreover, some results concerning G-weak graded rings of fractions are derived. Finally,
Mohammed M Al-Shomrani
exaly +4 more sources
GRADED I-PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2023 Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray +3 more
doaj +1 more source
Brown-McCoy Radical in Restricted Graded Version
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Some conjectures related to the radical theory of rings are still open. Hence, the research on the radical theory of rings is still being investigated by some prominent authors.
Puguh Wahyu Prasetyo
doaj +1 more source