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.

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

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