• Title of article

    The unit sum number of Baer rings

  • Author/Authors

    Ashrafi، Nahid نويسنده Department of Mathematics , , Pouyan، Neda نويسنده Semnan‎ ‎University‎ ,

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2016
  • Pages
    308
  • From page
    427
  • To page
    734
  • 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 ‎$\mathbb Z_2$ 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.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2388603