Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Rashid Abu-Dawwas"'
Publikováno v:
Cubo, Vol 24, Iss 2, Pp 291-305 (2022)
In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$. A proper graded ideal $P$ of $R$ is called a grade
Externí odkaz:
https://doaj.org/article/000f367ce1354deaa3658c2293924518
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2023 (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.
Externí odkaz:
https://doaj.org/article/2514e53cd85344cea6a451bd3310a04c
Publikováno v:
AIMS Mathematics, Vol 6, Iss 10, Pp 10355-10368 (2021)
In this article, we introduce and study the intersection graph of graded ideals of a graded ring. The intersection graph of G−graded ideals of a graded ring R, denoted by GrG(R), is undirected simple graph defined on the set of nontrivial graded le
Externí odkaz:
https://doaj.org/article/de39746d92334c69802cd86be8e33ddf
Publikováno v:
AIMS Mathematics, Vol 6, Iss 3, Pp 2510-2524 (2021)
In this article, we introduce the concepts of graded $ s $-prime submodules which is a generalization of graded prime submodules. We study the behavior of this notion with respect to graded homomorphisms, localization of graded modules, direct produc
Externí odkaz:
https://doaj.org/article/cae4596cf30e446eb55ce9e7a671f034
Autor:
Rashid Abu-Dawwas, Mashhoor Refai
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)
Let $G$ be a group with identity $e$, $R$ a $G$-graded commutative ring with unity $1$ and $M$ a $G$-graded $R$-module. In this article, we unify the concepts of graded prime ideals and graded primary ideals into a new concept, namely, graded $\delta
Externí odkaz:
https://doaj.org/article/dcff5cea31b344c293c918b9d65b49e4
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)
Let $G$ be a group with identity $e$, $R$ be a $G$-graded ring with unity $1$ and $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded quasi multiplication modules, where graded $M$ is said to be graded quasi multiplica
Externí odkaz:
https://doaj.org/article/17cc197189334301bf0936b8933339b2
Publikováno v:
Symmetry, Vol 14, Iss 7, p 1472 (2022)
Let G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a graded ring which is not commutative, and demonstrates that the symme
Externí odkaz:
https://doaj.org/article/7b9998058bef40a795d93ab512fcc924
Autor:
Rashid Abu-Dawwas
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 39, Iss 3 (2020)
Let $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded semiprime multiplication modules. A graded $R$-module $M$ is said to be graded semiprime multiplication if $M$ has no graded semiprime $R$-submodules or for every
Externí odkaz:
https://doaj.org/article/a862680f831f4ed5aeda4201cd258431
Autor:
Rashid Abu-Dawwas
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 39, Iss 3 (2020)
In this article, we introduce the concept of graded pseudo prime submodules of graded modules that is a generalization of the graded prime ideals over commutative rings. We study the Zariski topology on the graded spectrum of graded pseudo prime subm
Externí odkaz:
https://doaj.org/article/782fbb62fdda4d998f2a003f9a662434
Publikováno v:
Mathematics, Vol 9, Iss 10, p 1083 (2021)
The main goal of this article is to explore the concepts of graded ϕ-2-absorbing and graded ϕ-2-absorbing primary submodules as a new generalization of the concepts of graded 2-absorbing and graded 2-absorbing primary submodules. Let ϕ:GS(M)→GS(
Externí odkaz:
https://doaj.org/article/b29dd5de60874554a6db4ceb5f9b596c