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Matematicheskie Zametki, 1977, Volume 21, Issue 4, Pages 449–452 (Mi mzm7972)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonaxiomatizability of lattice-orderable rings

A. A. Vinogradov

Ivanovo Textile Institute
Full-text PDF (397 kB) Citations (2)
Abstract: Two elementarily equivalent rings, one of which is lattice-orderable and the other is not lattice-orderable, are constructed. Hence follows the elementary non closedness and the nonaxiomatizability of the class of all lattice-orderable rings. This example shows that the class of all lattice-orderable rings is nonaxiomatizable in the class of directedly orderable rings.
Received: 26.03.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 4, Pages 253–254
DOI: https://doi.org/10.1007/BF01787644
Bibliographic databases:
UDC: 512
Language: Russian
Citation: A. A. Vinogradov, “Nonaxiomatizability of lattice-orderable rings”, Mat. Zametki, 21:4 (1977), 449–452; Math. Notes, 21:4 (1977), 253–254
Citation in format AMSBIB
\Bibitem{Vin77}
\by A.~A.~Vinogradov
\paper Nonaxiomatizability of lattice-orderable rings
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 4
\pages 449--452
\mathnet{http://mi.mathnet.ru/mzm7972}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=480258}
\zmath{https://zbmath.org/?q=an:0398.03018|0363.02059}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 4
\pages 253--254
\crossref{https://doi.org/10.1007/BF01787644}
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  • https://www.mathnet.ru/eng/mzm/v21/i4/p449
    • 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
    		Математические заметки Mathematical Notes
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