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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)

RDRD-formulas and WW-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 pppp) 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, “RDRD-formulas and WW-rings”, Mat. Zametki, 53:1 (1993), 95–103; Math. Notes, 53:1 (1993), 66–71
Citation in format AMSBIB
\Bibitem{Pun93}
\by G.~E.~Puninskii
\paper $RD$-formulas and $W$-rings
\jour Mat. Zametki
\yr 1993
\vol 53
\issue 1
\pages 95--103
\mathnet{http://mi.mathnet.ru/mzm3924}
\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}
Linking options:
  • https://www.mathnet.ru/eng/mzm3924
  • https://www.mathnet.ru/eng/mzm/v53/i1/p95
    • This publication is cited in the following 2 articles:
    1. K. I. Beidar, A. V. Mikhalev, G. E. Puninskii, “Logicheskie aspekty teorii kolets i modulei”, Fundament. i prikl. matem., 1:1 (1995), 1–62  mathnet  mathscinet  zmath  elib
    2. G. E. Puninskii, “Rings defined by purities”, Russian Math. Surveys, 48:6 (1993), 181–182  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
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