|
Algebra and Discrete Mathematics, 2015, Volume 19, Issue 2, Pages 295–301
(Mi adm524)
|
|
|
|
This article is cited in 3 scientific papers (total 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.
Received: 07.03.2015 Revised: 13.07.2015
Citation:
B. Zabavsky, A. Gatalevych, “A commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring”, Algebra Discrete Math., 19:2 (2015), 295–301
Linking options:
https://www.mathnet.ru/eng/adm524 https://www.mathnet.ru/eng/adm/v19/i2/p295
|
Statistics & downloads: |
Abstract page: | 215 | Full-text PDF : | 57 | References: | 39 |
|