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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 3, Pages 61–66 (Mi fpm1413)  
This article is cited in 6 scientific papers (total in 6 papers)

Every zero adequate ring is an exchange ring

B. V. Zabavsky, S. I. Bilavska

Ivan Franko National University of L'viv
Full-text PDF (86 kB) Citations (6)
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Abstract: It is proved that if $R$ is a commutative ring in which zero is an adequate element, then $R$ is an exchange ring and that every zero adequate ring is an exchange ring. There is a new description of adequate rings; this is an answer to questions formulated by Larsen, Lewis, and Shores.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 187, Issue 2, Pages 153–156
DOI: https://doi.org/10.1007/s10958-012-1058-y
Bibliographic databases:
Document Type: Article
UDC: 512.552
Language: Russian
Citation: B. V. Zabavsky, S. I. Bilavska, “Every zero adequate ring is an exchange ring”, Fundam. Prikl. Mat., 17:3 (2012), 61–66; J. Math. Sci., 187:2 (2012), 153–156
Citation in format AMSBIB
\Bibitem{ZabBil12}
\by B.~V.~Zabavsky, S.~I.~Bilavska
\paper Every zero adequate ring is an exchange ring
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 3
\pages 61--66
\mathnet{http://mi.mathnet.ru/fpm1413}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 187
\issue 2
\pages 153--156
\crossref{https://doi.org/10.1007/s10958-012-1058-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867526524}
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  • https://www.mathnet.ru/eng/fpm/v17/i3/p61
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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