Generalized Injectivity and Approximations

DOI10.1080/00927872.2015.1087548zbMath1375.16004arXiv1601.01101OpenAlexW3100280040WikidataQ57571077 ScholiaQ57571077MaRDI QIDQ2817207

Jan Trlifaj, Serap Sahinkaya

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1601.01101

zbMATH Keywords

pure-injective modulesgeneralized injective modulesmodule approximations

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) General module theory in associative algebras (16D10)

Related Items (1)

Semisimple-direct-injective modules

Cites Work

• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• Indecomposable decompositions of modules whose direct sums are CS.
• Rings for which certain modules are \(CS\)
• Every Σ-CS-module has an indecomposable decomposition
• Indecomposable representations of graphs and algebras
• An approach to Boyle's conjecture
• Rings characterized by direct sums of cs modules
• Singular torsion and the splitting properties

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