Results 11 to 20 of about 469,261 (297)

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
doaj   +2 more sources

Graded near-rings

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, Năstăsescu Laura, Toader Bogdan   +2 more
doaj   +2 more sources

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   +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

Commutative graded-$S$-coherent rings [PDF]

, 2023
summary:Recently, motivated by Anderson, Dumitrescu's $S$-finiteness, D. Bennis, M. El Hajoui (2018) introduced the notion of $S$-coherent rings, which is the $S$-version of coherent rings.
Koç, Suat, Assarrar, Anass, Mahdou, Najib, Tekir, Ünsal   +3 more
core   +1 more source

On graded j-ideals over graded rings [PDF]

, 2023
. 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 & ISIN; h(R), if xy & ISIN; P and x ...
Bataineh, Malik, Al-Shorman, Tamem, Celikel, Ece Yetkin   +2 more
core   +1 more source

Some properties of graded generalized 2-absorbing submodules

Demonstratio Mathematica, 2022
Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
doaj   +1 more source

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   +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

Simple semigroup graded rings [PDF]

Journal of Algebra and Its Applications, 2015
We show that if R is a, not necessarily unital, ring graded by a semigroup G equipped with an idempotent e such that G is cancellative at e, the nonzero elements of eGe form a hypercentral group and Re has a nonzero idempotent f, then R is simple if and only if it is graded simple and the center of the corner subring f ReGe f is a field.
Nystedt, Patrik, Öinert, Johan
openaire   +2 more sources