Gelfand local Bezout domains are elementary divisor rings

  • B.V. Zabavsky Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • O.V. Pihura Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
Keywords: Gelfand ring, Bezout domain, elementary divisor domain
Published online: 2015-12-19

Abstract


We introduce the Gelfand local rings. In the case of commutative Gelfand local Bezout domains we show that they are an elementary divisor domains.
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How to Cite
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Zabavsky B., Pihura O. Gelfand Local Bezout Domains Are Elementary Divisor Rings. Carpathian Math. Publ. 2015, 7 (2), 188-190.