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Chain module

From Encyclopedia of Mathematics
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A module in which the totality of all submodules forms a chain, that is, a totally ordered set; for this it is sufficient that the totality of all cyclic submodules forms a chain.

How to Cite This Entry:
Chain module. L.A. Skornyakov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Chain_module&oldid=16152
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098
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