Rings with each right ideal automorphism-invariant.

DOI10.1016/J.JPAA.2015.09.016zbMath1339.16002arXiv1503.02245OpenAlexW2963220679MaRDI QIDQ898189

Ashish K. Srivastava, Truong Cong Quynh, Muhammet Tamer Koşan

Publication date: 8 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02245

zbMATH Keywords

semiprime ringsvon Neumann regular ringsquasi-injective modulesautomorphism-invariant idealsCS modules, automorphism-invariant modulesquasi-injective right ideals

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Automorphisms and endomorphisms (16W20) Ideals in associative algebras (16D25)

Related Items (15)

Rings all of whose right ideals are U-modules ⋮ On automorphism-invariant rings with chain conditions ⋮ Rings all of whose finitely generated ideals are automorphism-invariant ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ Dual automorphism-invariant modules over perfect rings ⋮ On (weakly) co-Hopfian automorphism-invariant modules ⋮ Unnamed Item ⋮ When is every module with essential socle a direct sum of automorphism-invariant modules? ⋮ Lifting of automorphisms of factor modules ⋮ 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 ⋮ Unnamed Item ⋮ Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls ⋮ Weakly automorphism invariant modules and essential tightness ⋮ Modules which are invariant under nilpotents of their envelopes and covers

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