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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 149–156 (Mi adm487)  
RESEARCH ARTICLE

Effective ring

B. V. Zabavsky, B. M. Kuznitska

Department of Mechanics and Mathematics, Ivan Franko National Univ., Lviv, Ukraine
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Abstract: In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. Furthermore we prove that effective rings are elementary divisor rings.
Keywords: Bezout ring, exchange ring, clean ring, effective ring, elementary divisor ring, idempotent of stable range 1, neat ring.
Received: 04.01.2014
Revised: 26.07.2014
Bibliographic databases:
Document Type: Article
MSC: 13F99
Language: English
Citation: B. V. Zabavsky, B. M. Kuznitska, “Effective ring”, Algebra Discrete Math., 18:1 (2014), 149–156
Citation in format AMSBIB
\Bibitem{ZabKuz14}
\by B.~V.~Zabavsky, B.~M.~Kuznitska
\paper Effective ring
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 1
\pages 149--156
\mathnet{http://mi.mathnet.ru/adm487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3283028}
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