Results 21 to 30 of about 30,010 (264)

The intersection graph of graded submodules of a graded module

Open Mathematics, 2022
In this article, we introduce and study the intersection graph of graded submodules of a graded module. Let MM be a left GG-graded RR-module. We define the intersection graph of GG-graded RR-submodules of MM, denoted by Γ(G,R,M)\Gamma \left(G,R,M), to be
Alraqad Tariq
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Graded I-second submodules

Demonstratio Mathematica, 2021
Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded ...
Bataineh Malik, Abu-Dawwas Rashid
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Graded Linearity of Stanley–Reisner Ring of Broken Circuit Complexes

Journal of Mathematics, 2022
This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for modules over the polynomial ring A=kx1,…,xn.
Mohammad Reza-Rahmati, Gerardo Flores
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Some notes on graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad, Abu-Dawwas Rashid, Al-Rashdan Majd   +2 more
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On graded WAG2-absorbing submodule

Математичні Студії, 2022
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded $WAG2$-absorbing submodule. A number of results concerning of these classes of graded submodules
K. Al-Zoubi, Mariam Al-Azaizeh
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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
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The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

Applied General Topology, 2022
Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M)
Saif Salam, Khaldoun Al-Zoubi
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ON GRADED INJECTIVE DIMENSION [PDF]

Journal of Algebraic Systems, 2019
There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $
Akram Mahmoodi, Afsaneh Esmaeelnezhad
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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

Some properties of graded comultiplication modules

Open Mathematics, 2017
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj   +1 more source