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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 58–80 (Mi znsl6507)  
This article is cited in 1 scientific paper (total in 1 paper)

Partial orders based on inverses along elements

A. Gutermanab, X. Maryc, P. Shteynerb

a Lomonosov Moscow State University, Moscow, Russsia
b Moscow Center for Continuous Mathematical Education, Moscow, Russia
c Université Paris Nanterre, Nanterre, France
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Abstract: The paper introduces and investigates partial orders that are finer than the minus partial order and are based on inverses along an element and other specific outer inverses. It turns out that in this way a number of classical partial orders can be equivalently defined.
Key words and phrases: generalized inverses, Green's relations, semigroups, rings.
Funding agency Grant number
Russian Science Foundation 16-11-10075
Received: 01.11.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 6, Pages 783–796
DOI: https://doi.org/10.1007/s10958-018-3908-8
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: A. Guterman, X. Mary, P. Shteyner, “Partial orders based on inverses along elements”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 58–80; J. Math. Sci. (N. Y.), 232:6 (2018), 783–796
Citation in format AMSBIB
\Bibitem{GutMarSht17}
\by A.~Guterman, X.~Mary, P.~Shteyner
\paper Partial orders based on inverses along elements
\inbook Computational methods and algorithms. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 463
\pages 58--80
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6507}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 6
\pages 783--796
\crossref{https://doi.org/10.1007/s10958-018-3908-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85049016825}
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  • https://www.mathnet.ru/eng/znsl/v463/p58
    • 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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