Zobrazeno 1 - 10
of 222
pro vyhledávání: '"Wiegand, Roger"'
A module over a ring $R$ is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of pure projective modules over commutative noetherian rings. In particul
Externí odkaz:
http://arxiv.org/abs/2311.05338
Let $(S,\mathfrak{m},k)$ and $(T,\mathfrak{n},k)$ be local rings, and let $R$ denote their fiber product over their common residue field $k$. Inspired by work of Naseh and Sather-Wagstaff, we explore consequences of vanishing of ${\rm Tor}^R_m(M,N)$
Externí odkaz:
http://arxiv.org/abs/1905.09697
We investigate the existence of ideals $I$ in a one-dimensional Gorenstein local ring $R$ satisfying $\mathrm{Ext}^{1}_{R}(I,I)=0$.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1804.00939
Tensor products usually have nonzero torsion. This is a central theme of Auslander's paper "Modules over unramified regular local rings"; the theme continues in the work of Huneke and Wiegand. The main focus in this note is on tensor powers of a fini
Externí odkaz:
http://arxiv.org/abs/1412.6454
In this paper we exploit properties of Dao's eta-pairing as well as techniques of Huneke, Jorgensen, and Wiegand to study the vanishing of Tor_i(M,N) of finitely generated modules M, N over complete intersections. We prove vanishing of Tor_i(M, N) fo
Externí odkaz:
http://arxiv.org/abs/1412.6456
Autor:
Celikbas, Olgur, Wiegand, Roger
Publikováno v:
Journal of Pure and Applied Algebra, Volume 219, Issue 3, March 2015, Pages 429-448
Given finitely generated modules $M$ and $N$ over a local ring $R$, the tensor product $M\otimes_RN$ typically has nonzero torsion. Indeed, the assumption that the tensor product is torsion-free influences the structure and vanishing of the modules $
Externí odkaz:
http://arxiv.org/abs/1302.2170
For finitely generated modules M and N over a complete intersection R, the vanishing of Tor_i^R(M,N) for all i> 0 gives a tight relationship among depth properties of M, N and their tensor product. Here we concentrate on the converse and show, under
Externí odkaz:
http://arxiv.org/abs/1302.1852
Autor:
Leuschke, Graham J., Wiegand, Roger
The Brauer-Thrall Conjectures, now theorems, were originally stated for finitely generated modules over a finite-dimensional $\sk$-algebra. They say, roughly speaking, that infinite representation type implies the existence of lots of indecomposable
Externí odkaz:
http://arxiv.org/abs/1211.3172
Autor:
Christensen, Lars Winther, Jorgensen, David A., Rahmati, Hamidreza, Striuli, Janet, Wiegand, Roger
Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the category of totally reflexive modules over R is representation infinite, provided that it contains a non-free module. The main goal of this paper is to understa
Externí odkaz:
http://arxiv.org/abs/1008.1737
Let $(R,\m)$ and $(S,\n)$ be commutative Noetherian local rings, and let $\phi:R\to S$ be a flat local homomorphism such that $\m S = \n$ and the induced map on residue fields $R/\m \to S/\n$ is an isomorphism. Given a finitely generated $R$-module $
Externí odkaz:
http://arxiv.org/abs/0707.4197