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Matematicheskie Zametki, 1977, Volume 21, Issue 4, Pages 459–471 (Mi mzm7974)  
Lattice isomorphisms of free semigroups

A. Ya. Ovsyannikov

Ural State University
Full-text PDF (1100 kB)
Abstract: The following theorem is proved. Every semigroup, free in an arbitrary hypercommutative variety of semigroups, is determined by the lattice of subsemigroups in the class of all semigroups.
Received: 06.04.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 4, Pages 257–264
DOI: https://doi.org/10.1007/BF01787646
Bibliographic databases:
UDC: 512
Language: Russian
Citation: A. Ya. Ovsyannikov, “Lattice isomorphisms of free semigroups”, Mat. Zametki, 21:4 (1977), 459–471; Math. Notes, 21:4 (1977), 257–264
Citation in format AMSBIB
\Bibitem{Ovs77}
\by A.~Ya.~Ovsyannikov
\paper Lattice isomorphisms of free semigroups
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 4
\pages 459--471
\mathnet{http://mi.mathnet.ru/mzm7974}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=473050}
\zmath{https://zbmath.org/?q=an:0399.20050|0359.06010}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 4
\pages 257--264
\crossref{https://doi.org/10.1007/BF01787646}
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