Rings and modules which are stable under automorphisms of their injective hulls.
From MaRDI portal
Publication:376030
DOI10.1016/j.jalgebra.2013.01.021zbMath1287.16007arXiv1301.5841OpenAlexW1981413799WikidataQ122662359 ScholiaQ122662359MaRDI QIDQ376030
Ashish K. Srivastava, Surjeet Singh, Noyan Er
Publication date: 1 November 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.5841
injective hullspseudo-injective modulesquasi-injective modulesautomorphism-invariant modulesprime self-injective rings
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)
Related Items
Automorphism-invariant non-singular rings and modules, D4-Modules, Modules which are coinvariant under automorphisms of their projective covers., Unnamed Item, MacWilliams extending conditions and quasi-Frobenius rings, Unnamed Item, Injective and automorphism-invariant non-singular modules, Pseudo pure-injective objects, On automorphism-invariant rings with chain conditions, On the Schröder-Bernstein property for modules, Additive unit structure of endomorphism rings and invariance of modules, Rings whose cyclics are D3-modules, Addendum: "On automorphism-invariant modules", Modules coinvariant under the idempotent endomorphisms of their covers, Rings all of whose finitely generated ideals are automorphism-invariant, Copure direct injective modules, A note on group algebras of locally compact groups, Utumi abelian groups, Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals, Modules Invariant Under Clean Endomorphisms of Their Injective Hulls, Rings with each right ideal automorphism-invariant., The Schröder-Bernstein problem for modules, Automorphism-extendable and endomorphism-extendable modules, Automorphism-invariant semi-Artinian modules, On (weakly) co-Hopfian automorphism-invariant modules, Automorphism-invariant modules satisfy the exchange property., Unnamed Item, When automorphism-coinvariant modules are quasi-projective, C4-Modules, When is every module with essential socle a direct sum of automorphism-invariant modules?, T-idempotent invariant modules, Endomorphism rings of Leavitt path algebras., Modules which are invariant under t-automorphisms of their injective hulls, t-Nilpotent invariant modules, Utumi modules, MacWilliams’ extension theorem for infinite rings, Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings, Lifting of automorphisms of factor modules, Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers, Unnamed Item, Extensions of automorphisms of submodules., Modules which are invariant under idempotents of their envelopes, Modules invariant under monomorphisms of their envelopes, Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls, Automorphism-invariant modules., Automorphism-invariant modules., Weakly automorphism invariant modules and essential tightness, On image summand coinvariant modules and kernel summand invariant modules, On automorphism-invariant modules, Modules over strongly prime rings, 𝑈-rings generated by its idempotents, Essentially ADS modules and rings, On dual automorphism-invariant and superfluous ADS-modules, On invertible algebras, Strictly invariant submodules, Modules invariant under automorphisms of their covers and envelopes., On infinite MacWilliams rings and minimal injectivity conditions, Modules which are invariant under nilpotents of their envelopes and covers, Rings whose cyclics are U-modules
