Results 1 to 10 of about 4,721 (79)
Cofinitely Goldie*-Supplemented Modules
Journal of New Theory, 2023 One of the generalizations of supplemented modules is the Goldie*-supplemented module, defined by Birkenmeier et al. using $\beta^{\ast}$ relation. In this work, we deal with the concept of the cofinitely Goldie*-supplemented modules as a version of ...
Ayşe Tuğba Güroğlu
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Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense subcategory of A‐modules, and N be the full subcategory of finite A‐modules. In this paper, we study N⋆X‐c‐cofinite modules with respect to the extension subcategory N⋆X when dim A/c≤2. We also study c‐cofiniteness with respect to a new dimension.
Reza Sazeedeh, Kenan Yildirim
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Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1663-1724, October 2022., 2022 Abstract Through the glasses of didactic reduction, we consider a (periodic) tessellation Δ$\Delta$ of either Euclidean or hyperbolic n$n$‐space M$M$. By a piecewise isometric rearrangement of Δ$\Delta$ we mean the process of cutting M$M$ along corank‐1 tile‐faces into finitely many convex polyhedral pieces, and rearranging the pieces to a new tight ...
Robert Bieri, Heike Sach
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Herr‐complexes in the Lubin–Tate setting
Mathematika, Volume 68, Issue 1, Page 74-147, January 2022., 2022 Abstract In this article, we extend work of Herr from the case of cyclotomic (φ,Γ)$(\varphi ,\Gamma )$‐modules to the general case of Lubin–Tate (φ,Γ)$(\varphi ,\Gamma )$‐modules. In particular, we define generalized φ‐ and ψ‐Herr complexes, which calculate Galois cohomology, when applied to the étale (φ,Γ)$(\varphi ,\Gamma )$‐modules attached to the ...
Benjamin Kupferer, Otmar Venjakob
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Decidability of theories of modules over tubular algebras
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 460-497, November 2021., 2021 Abstract We show that the common theory of all modules over a tubular algebra (over a recursive algebraically closed field) is decidable. This result supports a long standing conjecture of Mike Prest which says that a finite‐dimensional algebra (over a suitably recursive field) is tame if and only if its common theory of modules is decidable (Prest ...
Lorna Gregory
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Extension Functors of Generalized Local Cohomology Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative Noetherian ring with non-zero identity, is an ideal of , is a finitely generated -module, and is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi +2 more
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Some Properties of Serre Subcategories in the Graded Local Cohomology Modules
Journal of Mathematics, Volume 2017, Issue 1, 2017., 2017 Let R = ⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R‐module. Let HR+i(M) be the ith local cohomology module of M with respect to R+ = ⊕n>0Rn. Let S be a Serre subcategory of the category of R‐modules and let i be a nonnegative integer.
Feysal Hassani +2 more
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Generalized ⊕‐Radical Supplemented Modules
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 Çalışıcı and Türkmen called a module M generalized ⊕‐supplemented if every submodule has a generalized supplement that is a direct summand of M. Motivated by this, it is natural to introduce another notion that we called generalized ⊕‐radical supplemented modules as a proper generalization of generalized ⊕‐supplemented modules. In this paper, we obtain
Burcu Nişancı Türkmen +3 more
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A Note on ⊕‐Cofinitely Supplemented Modules
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 Let R be a ring and M a right R‐module. In this note, we show that a quotient of an ⊕‐cofinitely supplemented module is not in general ⊕‐cofinitely supplemented and prove that if a module M is an ⊕‐cofinitely supplemented multiplication module with Rad(M) ≪ M, then M can be written as an irredundant sum of local direct summand of M. An extension of the
Yongduo Wang, Qing Sun, Francois Goichot
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On linear difference equations over rings and modules
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 5, Page 239-258, 2004., 2004 We develop a coalgebraic approach to the study of solutions of linear difference equations over modules and rings. Some known results about linearly recursive sequences over base fields are generalized to linearly (bi)recursive (bi)sequences of modules over arbitrary commutative ground rings.
Jawad Y. Abuhlail
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