On covers

DOI10.1006/jabr.2000.8562zbMath0973.16002OpenAlexW4211144675WikidataQ116610140 ScholiaQ116610140MaRDI QIDQ5929353

Blass Torrecillas Jover, Ladislav Bican

Publication date: 25 November 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8562

zbMATH Keywords

endomorphismsflat coversautomorphismscoversflat moduleshereditary torsion theorieshomomorphismsprecoverstorsionfree covers

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

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Some properties of precovers and covers., Covers of Acts Over Monoids and Pure Epimorphisms, Covers and directed colimits., Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories, Lattice Properties of Torsion Theories, Relative purity over noetherian rings, Covers, precovers, and purity., On torsionfree classes which are not precover classes, PURE-INJECTIVE ENVELOPES, ℱ-Noetherian and Weakly Exact Torsion Theories

Cites Work

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• Injective and flat covers, envelopes and resolvents
• Torsion-free covers. II
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• Über injektive Moduln
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings