Results 1 to 10 of about 90,840 (132)
Lim Ulrich sequences and Boij-Söderberg cones
Forum of Mathematics, Sigma, 2023 This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting linear ...
Srikanth B. Iyengar +2 more
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Mathematics, 2021 We consider the equivalences of derived categories of graded rings over different groups. A Morita type equivalence is established between two graded algebras with different group gradings.
Bo-Ye Zhang, Ji-Wei He
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When Are Graded Rings Graded S-Noetherian Rings
Mathematics, 2020 Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
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Intersection graphs of graded ideals of graded rings
AIMS Mathematics, 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 left ...
Tariq Alraqad +2 more
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Graded weakly 1-absorbing prime ideals
Cubo, 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 $1\neq0$.
Ünsal Tekir +3 more
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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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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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Graded modules with Noetherian graded second spectrum
AIMS Mathematics, 2023 Let $ R $ be a $ G $ graded commutative ring and $ M $ be a $ G $-graded $ R $-module. The set of all graded second submodules of $ M $ is denoted by $ Spec_G^s(M), $ and it is called the graded second spectrum of $ M $.
Saif Salam , Khaldoun Al-Zoubi
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