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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 205–212 (Mi znsl414)  
This article is cited in 1 scientific paper (total in 1 paper)

Retract extensions of ordered sets

N. Kehayopulua, I. S. Ponizovskiib, K.-P. Shumc

a National and Capodistrian University of Athens, Department of Mathematics
b Russian State Hydrometeorological University
c Chinese University of Hong Kong
Full-text PDF (152 kB) Citations (1)
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Abstract: Ideal extensions of ordered semigroups have been considered by Kehayopulu and Tsingelis in [9]. Ideal extensions of ordered sets have been considered by Kehayopulu in [10]. Equivalent extensions of ordered sets have been considered by Kehayopulu and Shum in [11]. In the present paper we introduce and study the concept of the retract extensions of ordered sets. There are given an example of an extension which is retract and an example of an extension which is not retract.
Received: 10.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3946–3950
DOI: https://doi.org/10.1007/s10958-006-0213-8
Bibliographic databases:
UDC: 512
Language: English
Citation: N. Kehayopulu, I. S. Ponizovskii, K.-P. Shum, “Retract extensions of ordered sets”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 205–212; J. Math. Sci. (N. Y.), 136:3 (2006), 3946–3950
Citation in format AMSBIB
\Bibitem{KehPonShu05}
\by N.~Kehayopulu, I.~S.~Ponizovskii, K.-P.~Shum
\paper Retract extensions of ordered sets
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 205--212
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl414}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138418}
\zmath{https://zbmath.org/?q=an:1074.06001}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3946--3950
\crossref{https://doi.org/10.1007/s10958-006-0213-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744796290}
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  • https://www.mathnet.ru/eng/znsl/v321/p205
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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