JournalsrsmupVol. 133pp. 241–259

Automorphism-invariant modules

  • Adel Alahmadi

    King Abdulaziz University, Jeddah, Saudi Arabia
  • Alberto Facchini

    Università di Padova, Italy
  • Nguyen Khanh Tung

    Università di Padova, Italy
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Abstract

A module MM 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. 241–259

DOI 10.4171/RSMUP/133-12