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Mathematics of the USSR-Sbornik, 1983, Volume 44, Issue 2, Pages 207–217
DOI: https://doi.org/10.1070/SM1983v044n02ABEH000961 (Mi sm2459) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Projective nonfree modules over group rings of solvable groups

V. A. Artamonov
English version PDF (814 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM1983v044n02ABEH000961
Abstract: For a rather large class of commutative rings $k$ and locally solvable groups $G$ it is shown that there exist at least countably many nonisomorphic left ideals $P$ in the group algebra of $G$ such that $P\oplus kG\simeq kG+kG$.
Bibliography: 12 titles.
Received: 27.08.1980
Bibliographic databases:
UDC: 519.443
MSC: Primary 16A27, 16A50; Secondary 20F16, 20E25
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “Projective nonfree modules over group rings of solvable groups”, Math. USSR-Sb., 44:2 (1983), 207–217
Citation in format AMSBIB
\Bibitem{Art81}
\by V.~A.~Artamonov
\paper Projective nonfree modules over group rings of solvable groups
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 2
\pages 207--217
\mathnet{http://mi.mathnet.ru//eng/sm2459}
\crossref{https://doi.org/10.1070/SM1983v044n02ABEH000961}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=637862}
\zmath{https://zbmath.org/?q=an:0501.16016|0474.16007}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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