Gelfand local Bezout domains are elementary divisor rings

Authors

  • 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
https://doi.org/10.15330/cmp.7.2.188-190

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.

Article metrics
How to Cite
(1)
Zabavsky, B.; Pihura, O. Gelfand Local Bezout Domains Are Elementary Divisor Rings. Carpathian Math. Publ. 2015, 7, 188-190.