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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 139–148
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002226 (Mi sm2785) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The structure of hereditary rings

Yu. A. Drozd
English version PDF (774 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1982v041n01ABEH002226
Abstract: It is proved that hereditary rings are isomorphic to rings of triangular matrices with prime blocks along the diagonal. A criterion for triangular rings to be hereditary is given, and when a certain condition (“splitting”) holds it is established that hereditary rings are tensor algebras of special bimodules.
Bibliography: 14 titles.
Received: 29.03.1979
Bibliographic databases:
UDC: 519.48
MSC: Primary 16A50, 16A51, 16A48; Secondary 16A42
Language: English
Original paper language: Russian
Citation: Yu. A. Drozd, “The structure of hereditary rings”, Math. USSR-Sb., 41:1 (1982), 139–148
Citation in format AMSBIB
\Bibitem{Dro80}
\by Yu.~A.~Drozd
\paper The structure of hereditary rings
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 139--148
\mathnet{http://mi.mathnet.ru//eng/sm2785}
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590544}
\zmath{https://zbmath.org/?q=an:0478.16013|0447.16012}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:326
    Russian version PDF:105
    English version PDF:15
    References:53
    First page:1
     
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