arXiv:1103.2511v1 [math.RA] 13 Mar 2011 A Generalization of Injective and Projective
Complexes Page 1 arXiv:1103.2511v1 [math.RA] 13 Mar 2011 A Generalization of Injective …

arXiv:1103.2511v1 [math.RA] 13 Mar 2011 A Generalization of Injective and Projective
Complexes Page 1 arXiv:1103.2511v1 [math.RA] 13 Mar 2011 A Generalization of Injective and …

All rings are associative in what follows. We will also assume that all rings are unital and all
ring homomorphisms preserve the identity. Throughout the paper, B stands for a unitary …

Let $ R $ be a commutative noetherian ring with a semi-dualizing module $ C $. The
Auslander categories with respect to $ C $ are related through Foxby equivalence …

Let $ R $ denote an associative ring with unit Then it is well known that any artinian $ R $-
module is strongly cohopfian, but the converse is not true, in general. The aim of this work is …

In this paper, we dualize the concept of {\Sigma}-Rickart modules as {\Sigma}-dual Rickart
modules. An R-module M is said to be {\Sigma}-dual Rickart if the direct sum of arbitrary …

Let R be a ring. We give the equivalent categories of the module categories over the
polynomial ring R [x] and the quotient ring R [x]/(xn). As applications, we describe explicitly …