The unit sum number of discrete modules

Authors

N Ashrafi

N. Pouyan

Abstract:

In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.

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Journal title

Bulletin of the Iranian Mathematical Society

volume 37 issue No. 4

pages 243- 249

publication date 2011-12-15

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Keywords

unit sum number discrete Module hollow module lifting property

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