[图书][B] Approximations and endomorphism algebras of modules
R Göbel, J Trlifaj - 2006 - degruyter.com
References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
Beyond totally reflexive modules and back: a survey on Gorenstein dimensions
LW Christensen, HB Foxby, H Holm - Commutative Algebra: Noetherian …, 2011 - Springer
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …
homological dimensions for modules over commutative rings. The account includes the …
Tate (co) homology via pinched complexes
L Christensen, D Jorgensen - Transactions of the American Mathematical …, 2014 - ams.org
For complexes of modules we study two new constructions which we call the pinched tensor
product and the pinched Hom. They provide new methods for computing Tate homology …
product and the pinched Hom. They provide new methods for computing Tate homology …
[HTML][HTML] Vanishing of Tate homology and depth formulas over local rings
LW Christensen, DA Jorgensen - Journal of Pure and Applied Algebra, 2015 - Elsevier
Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth (M⊗ RN)= depth M+ depth N− depth R, has been generalized in several directions; …
depth (M⊗ RN)= depth M+ depth N− depth R, has been generalized in several directions; …
Vanishing of (co) homology, freeness criteria, and the Auslander-Reiten conjecture for Cohen-Macaulay Burch rings
R Holanda, CB Miranda-Neto - arXiv preprint arXiv:2212.05521, 2022 - arxiv.org
We establish new results on (co) homology vanishing and Ext-Tor dualities, and derive a
number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main …
number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main …
Tate homology of modules of finite Gorenstein flat dimension
L Liang - Algebras and Representation Theory, 2013 - Springer
We introduce and investigate Tate homology \rmtor of modules of finite Gorenstein flat
dimension. In particular, we show that over a right coherent ring R, \rmtor_i^R(M,N)≅ …
dimension. In particular, we show that over a right coherent ring R, \rmtor_i^R(M,N)≅ …
Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology
D Ghosh, TJ Puthenpurakal - Algebras and Representation Theory, 2024 - Springer
The aim of this article is to consider the spectral sequences induced by tensor-hom
adjunction, and provide a number of new results. Let R be a commutative Noetherian local …
adjunction, and provide a number of new results. Let R be a commutative Noetherian local …
Balance with unbounded complexes
EE Enochs, S Estrada, AC Iacob - Bulletin of the London …, 2012 - academic.oup.com
Given a double complex X there are spectral sequences with the E 2 terms being either HI
(H II (X)) or H II (HI (X)). But if HI (X)= H II (X)= 0, then both spectral sequences have all their …
(H II (X)) or H II (HI (X)). But if HI (X)= H II (X)= 0, then both spectral sequences have all their …
[图书][B] Gorenstein homological algebra
A Iacob - 2018 - taylorfrancis.com
Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …
commutative and noncommutative algebra, model category theory, representation theory …
Stable homology over associative rings
O Celikbas, L Christensen, L Liang… - Transactions of the …, 2017 - ams.org
Accepted Manuscript Page 1 Olgur Celikbas, Lars Winther Christensen, Li Liang, Greg
Piepmeyer Stable homology over associative rings Transactions of the American …
Piepmeyer Stable homology over associative rings Transactions of the American …