SYMMETRY IN THE VANISHING OF EXT-GROUPS 1. Motivation Throughout, we always
assume that k is a field, R is a (right and left) no Page 1 SYMMETRY IN THE VANISHING OF …

In 2 Avramov and Buchweitz proved that for finitely generated modules M and N over a
complete intersection local ring R, Ext_R^i\,\left(M,\,N\right)\,=\,0 for all i≫ 0 implies …

On the annihilators of Ext modules Page 1 On the annihilators of Ext modules Ali Fathi Islamic
Azad University (Zanjan Branch) February 28, 2022 Ali Fathi ( Islamic Azad University (Zanjan …

Let A and B be abelian groups. Then Ext (A, B) may be considered as a left E (B)-right E (A)
module. This dissertation provides necessary and sufficient conditions for Ext (A, B) to be E …

Let A and T be abelian groups. Then Ext (T, A) can be considered as a right module over E
(T), the ring of endomorphisms of T. In this paper necessary and sufficient conditions are …

Abstract § 0. Introduction. Seotion 1 of the paper deals with the structure of the left End (T)-
module Ext (F, T) where F is a torsion-free group and T a torsion group. The main theorem …

arXiv:math/0408127v1 [math.RA] 10 Aug 2004 Page 1 arXiv:math/0408127v1 [math.RA] 10
Aug 2004 SYMMETRY OF EXT VANISHING OVER NON-COMMUTATIVE RINGS PETER …

If R is a ring with 1 and M an R-module then A4 is called E (R)-module (or E-module) if
Hom,(R, M)= Hom,(R, M), where R (and M) is considered a right R-module. Moreover, R is …

An example is given of a finitely generated module over a commutative ring whose
endomorphism ring does not have a classical ring of quotients. Vasconcelos [3] has shown …

Let R be a commutative Noetherian ring, a an element of R, and M a nonzero finitely
generated R-module. We study the nonvanishing of Ext R 1 (R∕ R a, M) and we give some …