A module is called automorphism-invariant if it is invariant under automorphisms of its injective envelope. In this paper, we study the endomorphism 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.
Cite this article
Adel Alahmadi, Alberto Facchini, Nguyen Khanh Tung, Automorphism-invariant modules. Rend. Sem. Mat. Univ. Padova 133 (2015), pp. 241–259DOI 10.4171/RSMUP/133-12