Embeddings in free modules and Artinian rings

DOI10.1006/jabr.1997.7165zbMath0892.16003OpenAlexW1989907374MaRDI QIDQ1375966

Pedro A. Guil Asensio, José L. Gómez Pardo

Publication date: 22 July 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7165

zbMATH Keywords

idempotentsfree modulessimple right modulesinjective envelopesfinitely generated right modulesquasi-Frobenius ringsmaximal submodulescountably generated modulescyclic right modulesFGF problemidempotent semiorthogonal families

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Quasi-Frobenius rings (16L60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)

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Unnamed Item, New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture, Envelopes of Covers and Covers of Envelopes^#, WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM

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