Results 71 to 80 of about 120 (101)

Fibroblasts Promote Inflammation and Pain via IL-1α Induction of the Monocyte Chemoattractant Chemokine (C-C Motif) Ligand 2.

open access: yesAm J Pathol, 2018
Paish HL   +11 more
europepmc   +1 more source

Graded Prime Submodules over Non-Commutative Rings

open access: yesVietnam Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rashid Abu-Dawwas, Malik Bataineh
exaly   +4 more sources

On graded 1-absorbing prime submodules

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Let G be a group with identity e, R be a commutative G-graded ring with unity 1 and M be a G-graded unital R-module. In this article, we introduce the concept of graded 1-absorbing prime submodule. A proper graded R-submodule N of M is said to be a graded 1-absorbing prime R-submodule of M if for all non-unit homogeneous elements x, y of R and ...
Rashid Abu-Dawwas
exaly   +2 more sources

SOME PROPERTIES OF GRADED PRIME AND GRADED WEAKLY PRIME SUBMODULES

open access: yesFar East Journal of Mathematical Sciences (FJMS), 2017
Khaldoun Al-Zoubi, Boshra Rabab’a
openaire   +2 more sources

ON GRADED S-PRIME SUBMODULES OF GRADED MODULES OVER GRADED COMMUTATIVE RINGS

Advances in Mathematics: Scientific Journal, 2021
Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded commutative ring with identity, $M$ a graded $R$-module and $S\subseteq h(R)$ a multiplicatively closed subset of $R$. In this paper, we introduce the concept of graded $S$-prime submodules of graded modules over graded commutative rings. We investigate some properties of this class
K. Al-Zoubi, M. Al-Azaizeh
openaire   +1 more source

A generalization of graded prime submodules over non-commutative graded rings

2020
Summary: Let \(G\) be a group with identity \(e\). Let \(R\) be an associative \(G\)-graded ring and \(M\) be a \(G\)-graded \(R\)-module. In this article, we intruduce the concept of graded 2-absorbing submodules as a generalization of graded prime submodules over non-commutative graded rings. Moreover, we get some properties of such graded submodules.
Ghiasvand, P., Farzalipour, F.
openaire   +2 more sources

Some properties of graded 2-prime submodules

Asian-European Journal of Mathematics, 2015
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 2-prime submodule and we give a number of results concerning such modules. Also, we introduce and prove the graded 2-prime avoidance theorem for graded modules.
openaire   +1 more source

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