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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 242, Pages 103–107 (Mi tm408)  
This article is cited in 6 scientific papers (total in 6 papers)

Finiteness Conditions for Algebras of Relations

A. L. Semenov

Institute of New Technologies
Full-text PDF (123 kB) Citations (6)
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Abstract: Algebras of relations on a given set are considered; operations in an algebra are specified by various formulas of first-order logic. Different ways of introducing finiteness conditions for such algebras are studied. For each natural $n$, an example of an algebra is constructed that is generated by one $n$-ary relation and cannot be generated by its relations of smaller arity. An open problem is formulated.
Received in November 2002
Bibliographic databases:
UDC: 510.53+510.6
Language: Russian
Citation: A. L. Semenov, “Finiteness Conditions for Algebras of Relations”, Mathematical logic and algebra, Collected papers. Dedicated to the 100th birthday of academician Petr Sergeevich Novikov, Trudy Mat. Inst. Steklova, 242, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 103–107; Proc. Steklov Inst. Math., 242 (2003), 92–96
Citation in format AMSBIB
\Bibitem{Sem03}
\by A.~L.~Semenov
\paper Finiteness Conditions for Algebras of Relations
\inbook Mathematical logic and algebra
\bookinfo Collected papers. Dedicated to the 100th birthday of academician Petr Sergeevich Novikov
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 242
\pages 103--107
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2054488}
\zmath{https://zbmath.org/?q=an:1079.03063}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 242
\pages 92--96
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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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