Generalizations of projectivity and supplements revisited for superfluous ideals

DOI10.1080/00927872.2018.1468897zbMath1470.16006OpenAlexW2901087910WikidataQ105296278 ScholiaQ105296278MaRDI QIDQ4634065

Peter Kálnai

Publication date: 7 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1468897

zbMATH Keywords

projective modulesmatrix ringssupplementlifting idempotentssuperfluous submodules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Cites Work

• Unnamed Item
• Strong lifting splits.
• Projective modules are determined by their radical factors.
• Projective modules over the Gerasimov-Sakhaev counterexample.
• A generalization of projective covers
• A counterexample to two hypotheses on projective and flat modules
• Projektive Moduln mit endlich erzeugtem Radikalfaktormodul
• Strong lifting.
• Complements in projective modules
• Supplement submodules and a generalization of projective modules.
• Flat modules and lifting of finitely generated projective modules.
• Homomorphisms and extensions of modules over certain differential polynomial rings
• Idempotent lifting and ring extensions
• Infinitely generated projective modules over pullbacks of rings
• Autour de la platitude
• Logical connections between some open problems concerning nil rings

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