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Is there a name for modules M such that M ⊕ M is cyclic? Is there name for the largest n (depending on M) such that Mn is cyclic? JackSchmidt ( talk) 22:03, 16 September 2008 (UTC)
It seems like it might be worth mentioning under §Examples that a cyclic module MR over a ring R with nonzero zero divisors, a cyclic module may have a proper (cyclic) submodule MRa, where a is a (two-sided?) zero divisor of R. This might help with intuition for those not properly familiar with the topic, like me. — Quondum 14:19, 24 August 2016 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
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Is there a name for modules M such that M ⊕ M is cyclic? Is there name for the largest n (depending on M) such that Mn is cyclic? JackSchmidt ( talk) 22:03, 16 September 2008 (UTC)
It seems like it might be worth mentioning under §Examples that a cyclic module MR over a ring R with nonzero zero divisors, a cyclic module may have a proper (cyclic) submodule MRa, where a is a (two-sided?) zero divisor of R. This might help with intuition for those not properly familiar with the topic, like me. — Quondum 14:19, 24 August 2016 (UTC)