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Self-similar module

From Commalg

Revision as of 16:22, 27 February 2008 by Vipul (talk | contribs) (New page: {{wikilocal}} ==Definition== A module over a commutative unital ring is termed '''self-similar''' if any nonzero submodule, contains a submodule isomorphic to the whole module. ...)

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Definition

A module over a commutative unital ring is termed self-similar if any nonzero submodule, contains a submodule isomorphic to the whole module.

Facts

Ideal in integral domain implies self-similar: Any ideal in an integral domain is self-similar.

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