On a substitution property of modules
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Publication:2548641
DOI10.1007/BF01299099zbMath0225.16013OpenAlexW2001959590MaRDI QIDQ2548641
Publication date: 1971
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/177548
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)
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Cites Work
- Unnamed Item
- The cancellation of torsion abelian groups in direct sums
- On quasi projectives
- Exchange rings and decompositions of modules
- The Complement of a Finitely Generated Direct Summand of an Abelian Group
- Cancellation in Direct Sums of Groups
- A Krull-Schmidt Theorem for Infinite Sums of Modules
- Algebraic \(K\)-theory