Results 91 to 100 of about 21,877 (248)

Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2019
Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes.
ZHANGChunxia(张春霞)   +1 more
doaj   +1 more source

Generalized Local Homology Modules of Complexes

open access: yesپژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj  

Results in Injective Envelope and Indecomposable Injective Modules

open access: yesپژوهش‌های ریاضی, 2021
Introduction Throughout this paper,  is a commutative ring with non-zero identity and  is an  -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad   +2 more
doaj  

Polynomial Rings over Pseudovaluation Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let R be a ring. Let σ be an automorphism of R. We define a σ-divided ring and prove the following. (1) Let R be a commutative pseudovaluation ring such that x∉P for any P∈Spec(R[x,σ]) . Then R[x,σ] is also a pseudovaluation ring.
V. K. Bhat
doaj   +1 more source

ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]

open access: yesRomanian 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
doaj  

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