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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 6, Pages 1177–1185
DOI: https://doi.org/10.1070/IM1967v001n06ABEH000608 (Mi im2584) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On lattice isomorphisms of cancellative semigroups allowing ordering

L. N. Shevrin
English version PDF (444 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1967v001n06ABEH000608
Abstract: The article contains a description of semigroups lattice-isomorphic to cancellative semigroups allowing positive ordering, and indicates the type of mapping inducing any lattice isomorphism of a cancellative semigroup allowing positive ordering. Various corollaries of the basic result are listed; in particular, it is shown that the study of lattice isomorphism of arbitrary cancellative semigroups allowing ordering reduces entirely to the case of semigroups without identity.
Received: 11.01.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 6, Pages 1229–1238
Bibliographic databases:
UDC: 519.4
MSC: 20Mxx
Language: English
Original paper language: Russian
Citation: L. N. Shevrin, “On lattice isomorphisms of cancellative semigroups allowing ordering”, Izv. Akad. Nauk SSSR Ser. Mat., 31:6 (1967), 1229–1238; Math. USSR-Izv., 1:6 (1967), 1177–1185
Citation in format AMSBIB
\Bibitem{She67}
\by L.~N.~Shevrin
\paper On lattice isomorphisms of cancellative semigroups allowing ordering
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 6
\pages 1229--1238
\mathnet{http://mi.mathnet.ru/im2584}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=242744}
\zmath{https://zbmath.org/?q=an:0175.29403}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 6
\pages 1177--1185
\crossref{https://doi.org/10.1070/IM1967v001n06ABEH000608}
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  • https://www.mathnet.ru/eng/im/v31/i6/p1229
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:306
    Russian version PDF:79
    English version PDF:4
    References:39
    First page:3
     
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