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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 246–251
DOI: https://doi.org/10.4213/mzm1497 (Mi mzm1497) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Frucht theorem for inverse semigroups

N. A. Nemirovskaya

National Taras Shevchenko University of Kyiv
Full-text PDF (469 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1497
Abstract: In the paper, the problem of representing a finite inverse semigroup by partial transformations of a graph is treated. The notions of weighted graph and its weighted partial isomorphisms are introduced. The main result is that any finite inverse semigroup is isomorphic to the semigroup of weighted partial isomorphisms of a weighted graph. This assertion is a natural generalization of the Frucht theorem for groups.
Received: 07.04.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 201–205
DOI: https://doi.org/10.1007/BF02355729
Bibliographic databases:
UDC: 512.535.3+519.1
Language: Russian
Citation: N. A. Nemirovskaya, “Frucht theorem for inverse semigroups”, Mat. Zametki, 61:2 (1997), 246–251; Math. Notes, 61:2 (1997), 201–205
Citation in format AMSBIB
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\paper Frucht theorem for inverse semigroups
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\pages 246--251
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\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 2
\pages 201--205
\crossref{https://doi.org/10.1007/BF02355729}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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