Big direct sums of copies of a module have well behaved indecomposable decompositions

DOI10.1006/jabr.2000.8388zbMath0973.16007OpenAlexW1979633343MaRDI QIDQ1588389

José L. Gómez Pardo, Pedro A. Guil Asensio

Publication date: 28 March 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8388

zbMATH Keywords

endomorphism ringsdirect sumslocal ringsindecomposable modulesindecomposable decompositionslocal direct summands

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) General module theory in associative algebras (16D10)

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Cites Work

• Classes of modules with the exchange property
• Modules with indecomposable decompositions that complement maximal direct summands
• Modules with decompositions that complement direct summands
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