An equivalence criterion for the generalized injectivity of modules with respect to algebraic classes of homomorphisms

DOI10.1142/S0219498816501668zbMath1353.13007OpenAlexW2272201197WikidataQ122961579 ScholiaQ122961579MaRDI QIDQ2816940

Siegfried Macías, Jorge Eduardo Macías-Díaz

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816501668

zbMATH Keywords

isomorphism of modulesalgebraic class of morphismsBumby's theoremCantor-Bernstein-Schröder's theoremequivalence of modulesgeneralized injective hullgeneralized injective object

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

On the isomorphism of injective objects in Grothendieck categories

Cites Work

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• Modules which are isomorphic to submodules of each other
• GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
• MAXIMAL IDEALS OF THE ENDOMORPHISM RING OF AN INJECTIVE MODULE

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