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

volume 42  issue 2

pages  427- 434

publication date 2016-04-01

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