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

DOI:

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

Keywords:

Gelfand ring, Bezout domain, elementary divisor domain

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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Published

2015-12-19

How to Cite

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

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Section

Scientific articles