\(\pi\)-flat and \(\pi\)-projective module

DOI10.1007/BF01222571zbMath0221.16020OpenAlexW2911381426MaRDI QIDQ2547256

Robert R. Colby, Edgar A. jun. Rutter

Publication date: 1971

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222571

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) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items

Modules with chain conditions for finite matrix subgroups, The structure of qf-3 rings with zero singular ideal^(∗), Flat endofinite modules, prime ideals, and duality., Large subdirect products of flat modules, Two applications of Nagata rings and modules, Relatively flat envelopes, Rings which have flat injective modules, Rein injektive direkte summen von moduln, Torsionfree covers and covers by submodules of flat modules¹, Flache und halbinjektive Funktoren, On relative coherence and applications^∗, Decomposability of direct products of modules, Coherence relative to an hereditary torsion theory

Cites Work

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• Endlich präsentierbare Moduln
• On direct representations of quasi-injectives and quasi-projectives
• Groups with periodic cohomology
• Direct Products of Modules
• Rings with Ascending Condition on Annihilators
• Generalizations of QF-3 Algebras
• Sums of Distinct Divisors and Sums of Distinct Units
• Some Generalizations of Quasi-Frobenius Algebras