Second centralizers of partial transformations

Janusz Konieczny

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 4, page 873-888
  • ISSN: 0011-4642

Abstract

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Second centralizers of partial transformations on a finite set are determined. In particular, it is shown that the second centralizer of any partial transformation α consists of partial transformations that are locally powers of α .

How to cite

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Konieczny, Janusz. "Second centralizers of partial transformations." Czechoslovak Mathematical Journal 51.4 (2001): 873-888. <http://eudml.org/doc/30677>.

@article{Konieczny2001,
abstract = {Second centralizers of partial transformations on a finite set are determined. In particular, it is shown that the second centralizer of any partial transformation $\alpha $ consists of partial transformations that are locally powers of $\alpha $.},
author = {Konieczny, Janusz},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial transformation; second centralizer; partial transformations; second centralizers},
language = {eng},
number = {4},
pages = {873-888},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Second centralizers of partial transformations},
url = {http://eudml.org/doc/30677},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Konieczny, Janusz
TI - Second centralizers of partial transformations
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 873
EP - 888
AB - Second centralizers of partial transformations on a finite set are determined. In particular, it is shown that the second centralizer of any partial transformation $\alpha $ consists of partial transformations that are locally powers of $\alpha $.
LA - eng
KW - partial transformation; second centralizer; partial transformations; second centralizers
UR - http://eudml.org/doc/30677
ER -

References

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  1. Techniques of Semigroup Theory, Oxford University Press, New York, 1992. (1992) Zbl0744.20046MR1167445
  2. 10.1017/S0017089500007011, Glasgow Math.  J. 30 (1988), 41–57. (1988) Zbl0634.20034MR0925558DOI10.1017/S0017089500007011
  3. 10.1017/S0017089599970301, Glasgow Math. J. 41 (1999), 45–57. (1999) Zbl0924.20049MR1689659DOI10.1017/S0017089599970301
  4. Centralizers in the semigroup of partial transformations, Math.  Japon. 48 (1998), 367–376. (1998) MR1664246
  5. Symmetric Inverse Semigroups, Mathematical Surveys and Monographs, Vol.  46, American Mathematical Society, Providence, RI, 1996. (1996) Zbl0857.20047MR1413301
  6. Centralizers of permutations in the partial transformation semigroup, Pure Math. Appl. 6 (1995), 349–354. (1995) MR1399299
  7. On the permutability of mappings, Dokl. Akad. Nauk Belarusi 7 (1963), 366–369. (Russian) (1963) MR0153609

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