Rings of Invariant Module Type and Automorphism-Invariant Modules

zbMath1296.16006arXiv1207.5370MaRDI QIDQ5168114

Ashish K. Srivastava, Surjeet Singh

Publication date: 3 July 2014

Full work available at URL: https://arxiv.org/abs/1207.5370

zbMATH Keywords

finite-dimensional algebrasright Artinian ringspseudo-injective modulesquasi-injective modulesautomorphisms of injective hullsindecomposable automorphism-invariant right modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (22)

Automorphism-invariant non-singular rings and modules ⋮ Modules which are coinvariant under automorphisms of their projective covers. ⋮ Injective and automorphism-invariant non-singular modules ⋮ Additive unit structure of endomorphism rings and invariance of modules ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ Rings with each right ideal automorphism-invariant. ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ Automorphism-invariant semi-Artinian modules ⋮ On (weakly) co-Hopfian automorphism-invariant modules ⋮ Dual automorphism-invariant modules. ⋮ Automorphism-invariant modules satisfy the exchange property. ⋮ When is every module with essential socle a direct sum of automorphism-invariant modules? ⋮ Utumi modules ⋮ Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings ⋮ Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers ⋮ Rings for which every cyclic module is dual automorphism-invariant ⋮ Extensions of automorphisms of submodules. ⋮ Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls ⋮ Automorphism-invariant modules. ⋮ On image summand coinvariant modules and kernel summand invariant modules ⋮ Modules invariant under automorphisms of their covers and envelopes. ⋮ Rings whose cyclics are U-modules

This page was built for publication: Rings of Invariant Module Type and Automorphism-Invariant Modules