# Regular, inverse, and completely regular centralizers of permutations

Mathematica Bohemica (2003)

- Volume: 128, Issue: 2, page 179-186
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topKonieczny, Janusz. "Regular, inverse, and completely regular centralizers of permutations." Mathematica Bohemica 128.2 (2003): 179-186. <http://eudml.org/doc/249210>.

@article{Konieczny2003,

abstract = {For an arbitrary permutation $\sigma $ in the semigroup $T_n$ of full transformations on a set with $n$ elements, the regular elements of the centralizer $C(\sigma )$ of $\sigma $ in $T_n$ are characterized and criteria are given for $C(\sigma )$ to be a regular semigroup, an inverse semigroup, and a completely regular semigroup.},

author = {Konieczny, Janusz},

journal = {Mathematica Bohemica},

keywords = {semigroup of full transformations; permutation; centralizer; regular; inverse; completely regular semigroups; semigroups of full transformations; permutations; regular centralizers; inverse centralizers; completely regular semigroups},

language = {eng},

number = {2},

pages = {179-186},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Regular, inverse, and completely regular centralizers of permutations},

url = {http://eudml.org/doc/249210},

volume = {128},

year = {2003},

}

TY - JOUR

AU - Konieczny, Janusz

TI - Regular, inverse, and completely regular centralizers of permutations

JO - Mathematica Bohemica

PY - 2003

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 128

IS - 2

SP - 179

EP - 186

AB - For an arbitrary permutation $\sigma $ in the semigroup $T_n$ of full transformations on a set with $n$ elements, the regular elements of the centralizer $C(\sigma )$ of $\sigma $ in $T_n$ are characterized and criteria are given for $C(\sigma )$ to be a regular semigroup, an inverse semigroup, and a completely regular semigroup.

LA - eng

KW - semigroup of full transformations; permutation; centralizer; regular; inverse; completely regular semigroups; semigroups of full transformations; permutations; regular centralizers; inverse centralizers; completely regular semigroups

UR - http://eudml.org/doc/249210

ER -

## References

top- 10.1017/S0017089500007011, Glasgow Math. J. 30 (1988), 41–57. (1988) Zbl0634.20034MR0925558DOI10.1017/S0017089500007011
- Fundamentals of Semigroup Theory, Oxford University Press, New York, 1995. (1995) Zbl0835.20077MR1455373
- 10.1017/S0017089599970301, Glasgow Math. J. 41 (1999), 45–57. (1999) Zbl0924.20049MR1689659DOI10.1017/S0017089599970301
- Semigroups of transformations commuting with idempotents, Algebra Colloq. 9 (2002), 121–134. (2002) Zbl1005.20046MR1901268
- Centralizers in the semigroup of partial transformations, Math. Japon. 48 (1998), 367–376. (1998) MR1664246
- On the permutability of mappings, Dokl. Akad. Nauk BSSR 7 (1963), 366–369. (Russian) (1963) MR0153609
- The order of the centralizer of a transformation, Dokl. Akad. Nauk BSSR 12 (1968), 596–598. (Russian) (1968) MR0237624
- 10.2140/pjm.1960.10.705, Pacific J. Math. 10 (1960), 705–711. (1960) Zbl0094.03203MR0115923DOI10.2140/pjm.1960.10.705

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.