\(\tau\)-complemented and \(\tau\)-supplemented modules

\(\tau\)-complemented and \(\tau\)-supplemented modules

Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Genera...

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Bibliographic Details
Date:2018
Main Authors: Al-Takhman, Khaled, Lomp, Christian, Wisbauer, Robert
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
proper classes
neat and coneat submodules
\(\tau\)-supplemented,\(\tau\)-complemented and \(\tau\)-semiperfect modules
16D90
16E50
16.E99
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary:Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.

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