Results 1 to 10 of about 51 (51)
GENERALIZED FORMAL LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2023 Let $a$ be an ideal of a local ring $(R, m)$ and $M$ and $N$ two finitely generated $R$-modules. In this paper, we introduce the concept of generalized formal local cohomology modules. We define $i$-th generalized formal local cohomology module of $M$
Shahram Rezaei, Fatemeh Lashkari
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FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]
Journal of Algebraic Systems, 2023 Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
F. Dehghani-Zadeh, A.R. Hajikarimi
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On the properties of weak CM rings
上海师范大学学报. 自然科学版, 2022 In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES [PDF]
Journal of Algebraic Systems, 2013 Let $R$ be a commutative Noetherian ring with non-zero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$--module of finite projective dimension and $N$ an arbitrary finite $R$--module.
Moharram Aghapournahr
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On the annihilators of generalized local cohomology modules [PDF]
Journal of Mahani Mathematical ResearchLet ${\frak{a}}$ be an ideal of Noetherian ring $R$ and $M$, $N$ be two finitely generated $R$-modules. In this paper, we obtain some results about the annihilators of top generalized local cohomology modules.
Shahram Rezaei
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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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Extension functors of generalized local cohomology modules and Serre subcategories
پژوهشهای ریاضی, 2022 In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
Kamal Bahmanpour
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ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
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On the asymptotic behaviour of graded generalized local cohomology modules [PDF]
Mathematical Sciences, 2011 Let ${R=igoplus_{ngeq 0}R_n}$ be a graded Noetherian ring withlocal base ring $R_0$ and let ${R_{+}=igoplus_{ngeq 1}R_n}$.Let $M$ and $N$ be finitely generated graded $R$-modules. In thispaper, we prove some results on the asymptotic behaviour of the$n$-
F. Dehghani-Zadeh
doaj
The mod 2 Seiberg–Witten invariants of spin structures and spin families
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We completely determine the mod 2 Seiberg–Witten invariants for any spin structure on any closed, oriented, smooth 4‐manifold X$X$. Our computation confirms the validity of the simple‐type conjecture mod 2 for spin structures. Our proof also works for families of spin 4‐manifolds and thus computes the mod 2 Seiberg–Witten invariants for spin ...
David Baraglia
wiley +1 more source