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Matematicheskie Zametki, 1993, Volume 53, Issue 1, Pages 95–103 (Mi mzm3924)  
This article is cited in 2 scientific papers (total in 2 papers)

$RD$-formulas and $W$-rings

G. E. Puninskii

D. Mendeleev University of Chemical Technology of Russia
Full-text PDF (2350 kB) Citations (2)
Abstract: We study rings over which any finitely presented module is a direct summand of a direct sum of cyclic cyclically presented modules (Warfield rings). We characterize these rings in matrix terms. We clarify a number of properties of Warfield rings including their complete characterization in some special cases. We prove the presence of special (deeper than $pp$) elimination of quantifiers in module theory over these rings.
Received: 23.04.1992
English version:
Mathematical Notes, 1993, Volume 53, Issue 1, Pages 66–71
DOI: https://doi.org/10.1007/BF01208525
Bibliographic databases:
UDC: 512.553+512.55.0
Language: Russian
Citation: G. E. Puninskii, “$RD$-formulas and $W$-rings”, Mat. Zametki, 53:1 (1993), 95–103; Math. Notes, 53:1 (1993), 66–71
Citation in format AMSBIB
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\by G.~E.~Puninskii
\paper $RD$-formulas and $W$-rings
\jour Mat. Zametki
\yr 1993
\vol 53
\issue 1
\pages 95--103
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1215163}
\zmath{https://zbmath.org/?q=an:0809.16006}
\transl
\jour Math. Notes
\yr 1993
\vol 53
\issue 1
\pages 66--71
\crossref{https://doi.org/10.1007/BF01208525}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MY10400010}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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