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Diskretnaya Matematika, 2016, Volume 28, Issue 2, Pages 133–145
DOI: https://doi.org/10.4213/dm1376 (Mi dm1376) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Bezout rings without non-central idempotents

A. A. Tuganbaev

National Research University "Moscow Power Engineering Institute"
Full-text PDF (497 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1376
Abstract: Let $A$ be a Bezout ring without non-central idempotents. If $A$ is a right or left Rickartian ring, then $A$ is an Hermitian ring. If $A$ is an exchange ring, then every rectangular matrix over $A$ is diagonalizable.
Keywords: Bezout ring, Hermitian ring, diagonalizable ring.
Funding agency Grant number
Russian Science Foundation 16-11-10013
This work was supported by the Russian Science Foundation (project no. 16-11-10013).
Received: 15.03.2016
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 6, Pages 369–377
DOI: https://doi.org/10.1515/dma-2016-0031
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. A. Tuganbaev, “Bezout rings without non-central idempotents”, Diskr. Mat., 28:2 (2016), 133–145; Discrete Math. Appl., 26:6 (2016), 369–377
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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