Results 11 to 20 of about 90,989 (277)
Simple Semigroup Graded Rings [PDF]
Journal of Algebra and Its Applications, 2014 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 non-zero elements of $eGe$ form a hypercentral group and $R_e$ has a non-zero idempotent $f$, then $
Nystedt, Patrik, Öinert, Johan
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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
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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 +2 more
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Banach Journal of Mathematical Analysis, 2015 Consider a pseudo-$H$-space $E$ endowed with a separately continuous biadditive associative multiplication which induces a grading on $E$ with respect to an abelian group $G$. We call such a space a graded pseudo-$H$-ring and we show that it has the form $E = cl(U + \sum_j I_j)$ with $U$ a closed subspace of $E_1$ (the summand associated to the unit ...
Calderón Martín, Antonio Jesús +3 more
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K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories [PDF]
Categories and General Algebraic Structures with Applications, 2022 We build on previous work on multirings ([17]) that providesgeneralizations of the available abstract quadratic forms theories (specialgroups and real semigroups) to the context of multirings ([10], [14]).
Kaique Roberto, Hugo Mariano
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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
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On graded 2-absorbing $I_{e}$-prime submodules of graded modules over graded commutative rings
AIMS Mathematics, 2020 Let $G$ be an abelian group with identity $e$. Let $R$ be a $G$-graded commutative ring with identity and $M$ a graded $R$-module. In this paper, we introduce the concept of graded 2-absorbing $I_{e}$-prime submodule as a generalization of a graded 2 ...
Shatha Alghueiri, Khaldoun Al-Zoubi
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On the union of graded prime ideals
Open Physics, 2016 In this paper we investigate graded compactly packed rings, which is defined as; if any graded ideal I of R is contained in the union of a family of graded prime ideals of R, then I is actually contained in one of the graded prime ideals of the family ...
Uregen Rabia Nagehan +2 more
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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
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On equivalence of graded rings
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
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