Direct sums of projective modules as direct summaots of their direct product

DOI10.1080/00927877608822130zbMath0342.16024OpenAlexW2109077799MaRDI QIDQ4109796

Helmut Lenzing

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00927877608822130

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (13)

Zerlegungen von Moduln und Injektive über Ringoiden ⋮ On certain homological finiteness conditions ⋮ GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES ⋮ Global dimension and left derived functors of Hom. ⋮ The Sum-Product Splitting Property and Injective Direct Sums of Modules Over Von Neumann Regular Rings ⋮ Large subdirect product of modules as direct summand of their direct product ⋮ Large subdirect products of projective modules ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Algebraically compact rings and modules ⋮ Relative homology, higher cluster-tilting theory and categorified Auslander-Iyama correspondence ⋮ Characterizations of Chain Conditions on Finite Matrix Subgroups ⋮ Modules ⋮ Σ-semi-compact rings and modules

Cites Work

• Unnamed Item
• Finitistic global dimension for rings
• Pure theories
• On coherent rings
• On rings whose simple modules are injective
• Injectivity of Direct Sums

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