the unit sum number of baer rings

Authors

n. ashrafi

semnan universityfaculty of mathematics, statistics and computer science, semnan university, semnan, iran. n. pouyan

faculty of mathematics, statistics and computer science, semnan university, semnan, iran.

abstract

in this paper we prove that each element of any regular baer ring is a sum of two units if no factor ring of r is isomorphic to z_2 and we characterize regular baer rings with unit sum numbers $omega$ and $infty$. then as an application, we discuss the unit sum number of some classes of group rings.

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Journal title:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۲، صفحات ۴۲۷-۴۳۴

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