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math.RA2013
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…
math.RA2013
Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
Pedro A. Guil Asensio, Ashish K. Srivastava
A module is called automorphism-invariant if it is invariant under any automorphism of its injective hull. Dickson and Fuller have shown that if is a finite-dimensional algebra…
math.RA2013
Rings and modules which are stable under automorphisms of their injective hulls
Noyan Er, Surjeet Singh, Ashish K. Srivastava
It is proved, among other results, that a prime right nonsingular ring (in particular, a simple ring) is right self-injective if is invariant under automorphisms of its i…