Rendiconti del Seminario Matematico della Università di Padova


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Volume 133, 2015, pp. 241–259
DOI: 10.4171/RSMUP/133-12

Automorphism-invariant modules

Adel Alahmadi[1], Alberto Facchini[2] and Nguyen Khanh Tung[3]

(1) Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
(2) Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste, 63, 35121, Padova, Italy
(3) Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste, 63, 35121, Padova, Italy

A module $M$ 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.

Keywords: Automorphism-invariant modules, injective envelopes

Alahmadi Adel, Facchini Alberto, Khanh Tung Nguyen: Automorphism-invariant modules. Rend. Sem. Mat. Univ. Padova 133 (2015), 241-259. doi: 10.4171/RSMUP/133-12