2 citations · 5 across the 6 of their papers we have counts for
5 papers · 1 filter
Automorphism-invariant modules
Pedro A. Guil Asensio, Ashish K. Srivastava
A module is called automorphism-invariant if it is invariant under any automorphism of its injective envelope. In this survey article we present the current state of art dealing wi…
Modules invariant under automorphisms of their covers and envelopes
Pedro A. Guil Asensio, Derya Keskin Tütüncü, Ashish K. Srivastava
In this paper we develop a general theory of modules which are invariant under automorphisms of their covers and envelopes. When applied to specific cases like injective envelopes,…
Automorphism-invariant modules satisfy the exchange property
Pedro A Guil Asensio, Ashish K. Srivastava
Warfield proved that every injective module has the exchange property. This was generalized by Fuchs who showed that quasi-injective modules satisfy the exchange property. We exten…
A note on the construction of finitely injective modules
Pedro A. Guil Asensio, Manuel C. Izurdiaga, Blas Torrecillas
We develop a technique to construct finitely injective modules which are non trivial, in the sense that they are not direct sums of injective modules. As a consequence, we prove th…
A Quillen Model Structure Approach to the Finitistic Dimension Conjectures
S. Estrada, P. A. Guil Asensio, M. Cortes Izurdiaga
We explore the interlacing between model category structures attained to classes of modules of finite -dimension, for certain classes of modules . As an a…