This article is cited in 3 papers

RESEARCH ARTICLE

A commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring

B. Zabavsky, A. Gatalevych

Department of Mechanics and Mathematics, Ivan Franko National University of L'viv

Abstract: We prove that any commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring.

Keywords: Bezout domain, PM-ring, clean element, neat element, elementary divisor ring, stable range 1, neat range 1.

MSC: 13F99

Received: 07.03.2015
Revised: 13.07.2015

Language: English

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