Results 1 to 10 of about 450,444 (294)
On properties of graded rings and graded modules
Proyecciones (Antofagasta), 2022 Let R be a G-graded ring. In this article, we introduce two new concepts on graded rings, namely, weakly graded rings and invertible graded rings, and we discuss the relations between these concepts and several properties of graded rings. Also, we study the concept of weakly crossed products and study some properties defined on weakly crossed product ...
Refai, Mashhoor, Abu-Dawwas, Rashid
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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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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
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Acyclic Complexes and Graded Algebras
Mathematics, 2023 We already know that the noncommutative N-graded Noetherian algebras resemble commutative local Noetherian rings in many respects. We also know that commutative rings have the important property that every minimal acyclic complex of finitely generated ...
Chaoyuan Zhou
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On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 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.
Azzh Saad Alshehry +2 more
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On graded Jgr-classical 2-absorbing submodules of graded modules over graded commutative rings
Demonstratio Mathematica, 2021 Let G be an abelian group with identity ee. Let R be a G-graded commutative ring with identity 1, and MM be a graded R-module. In this paper, we introduce the concept of graded Jgr{J}_{gr}-classical 2-absorbing submodule as a generalization of a graded ...
Al-Zoubi Khaldoun, Alghueiri Shatha
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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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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
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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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