Indecomposable module
id:
indecomposable-module-197-10284236
title:
Indecomposable module
text:
In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules. Indecomposable is a weaker notion than simple module:
simple means "no proper submodule" N < M,
while indecomposable "not expressible as N ⊕ P = M". A direct sum of indecomposables is called completely decomposable; this is weaker than being semisimple, which is a direct sum of simple modules. A direct sum decomposition of a module into indecomposable modules is cal
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Indecomposable_module
date created:
date modified:
2023-10-28T22:27:25Z
main entity:
{"identifier":"Q2499534","url":"https://www.wikidata.org/entity/Q2499534"}
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