T-idempotent invariant modules
We introduce and investigate t-idempotent invariant modules. We call an endomorphism ψ
of M, at-idempotent endomorphism if ψ ̄: M/Z 2 (M)→ M/Z 2 (M) defined by ψ ̄ (m+ Z 2 …
of M, at-idempotent endomorphism if ψ ̄: M/Z 2 (M)→ M/Z 2 (M) defined by ψ ̄ (m+ Z 2 …
When is every module with essential socle a direct sum of automorphism-invariant modules?
S Ebrahimi Atani, S Dolati Pish Hesari… - Journal of Algebra and …, 2020 - World Scientific
The purpose of this paper is to study the structure of rings over which every essential
extension of a direct sum of a family of simple modules is a direct sum of automorphism …
extension of a direct sum of a family of simple modules is a direct sum of automorphism …