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Mathematics of the USSR-Sbornik, 1971, Volume 14, Issue 3, Pages 297–328
DOI: https://doi.org/10.1070/SM1971v014n03ABEH002619 (Mi sm3211) 		 
This article is cited in 5 scientific papers (total in 6 papers)

On free expansions and algorithmic problems in $R$-varieties of universal algebras

M. M. Glukhov
English version PDF (1941 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1971v014n03ABEH002619
Abstract: A class of varieties of universal algebras is pointed out (and described by systems of quasi-identities) in which the algorithmic problems of word identity, isomorphism, and occurrence are definitely decidable and in which, as well, theorems on free algebras and free products of algebras hold which are analogous to the theorems of Nielsen–Schreier and Kurosh and certain corollaries of Grushko's grouptheoretic theorem.
Bibliography: 17 titles.
Received: 24.03.1970 and 26.11.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 85(127), Number 3(7), Pages 307–338
Bibliographic databases:
UDC: 519.4
MSC: Primary 08A05, 08A25, 20E30; Secondary 02B10, 02E10, 10N05
Language: English
Original paper language: Russian
Citation: M. M. Glukhov, “On free expansions and algorithmic problems in $R$-varieties of universal algebras”, Mat. Sb. (N.S.), 85(127):3(7) (1971), 307–338; Math. USSR-Sb., 14:3 (1971), 297–328
Citation in format AMSBIB
\Bibitem{Glu71}
\by M.~M.~Glukhov
\paper On free expansions and algorithmic problems in $R$-varieties of universal algebras
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 85(127)
\issue 3(7)
\pages 307--338
\mathnet{http://mi.mathnet.ru/sm3211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291053}
\zmath{https://zbmath.org/?q=an:0245.08002}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 3
\pages 297--328
\crossref{https://doi.org/10.1070/SM1971v014n03ABEH002619}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:340
    Russian version PDF:108
    English version PDF:3
    References:42
    First page:2
     
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