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Sbornik: Mathematics, 1998, Volume 189, Issue 4, Pages 623–638
DOI: https://doi.org/10.1070/sm1998v189n04ABEH000316 (Mi sm316) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Modules over hereditary rings

A. A. Tuganbaev

Moscow Power Engineering Institute (Technical University)
English version PDF (205 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/sm1998v189n04ABEH000316
Abstract: Let $A$ be a hereditary Noetherian prime ring that is not right primitive. A complete description of $\pi$-injective $A$-modules is obtained. Conditions under which the classical ring of quotients of $A$ is a $\pi$-projective $A$-module are determined. A criterion for a right hereditary right Noetherian prime ring to be serial is obtained.
Received: 04.03.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 4, Pages 145–160
DOI: https://doi.org/10.4213/sm316
Bibliographic databases:
UDC: 512.55
MSC: 16E60, 16P40
Language: English
Original paper language: Russian
Citation: A. A. Tuganbaev, “Modules over hereditary rings”, Mat. Sb., 189:4 (1998), 145–160; Sb. Math., 189:4 (1998), 623–638
Citation in format AMSBIB
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\by A.~A.~Tuganbaev
\paper Modules over hereditary rings
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\issue 4
\pages 145--160
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\transl
\jour Sb. Math.
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\issue 4
\pages 623--638
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:164
    English version PDF:14
    References:58
    First page:4
     
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