A module M is called automorphism-invariant if it is invariant under automorphisms of its injective envelope. In this paper, we study the en-domorphism rings of automorphism-invariant modules and their injective envelopes. We investigate some cases where automorphism-invariant modules are quasi-injective and a connection between automorphism-invariant modules and boolean rings.
Automorphism-invariant modules
FACCHINI, ALBERTO;
2015
Abstract
A module M is called automorphism-invariant if it is invariant under automorphisms of its injective envelope. In this paper, we study the en-domorphism rings of automorphism-invariant modules and their injective envelopes. We investigate some cases where automorphism-invariant modules are quasi-injective and a connection between automorphism-invariant modules and boolean rings.
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