On nilpotent-invariant one-sided ideals

DOI10.1007/s40306-024-00524-wMaRDI QIDQ6563082

Truong Cong Quynh, Truong Thi Thuy Van

Publication date: 27 June 2024

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

formal matrix ringautomorphism-invariant modulenilpotent-invariant modulesquare-free module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• Formal matrices
• Rings with each right ideal automorphism-invariant.
• Exchange rings and decompositions of modules
• Extensions of Rings and Modules
• Quasi-Injective Modules and Irreducible Rings
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Nilpotent-invariant modules and rings
• Modules which are invariant under nilpotents of their envelopes and covers

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