1Institute of Mathematics University of Potsdam 2Institute of Mathematics, Faculty of Science, Am Neuen Palais, University of Potsdam, 14469
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 347-356
Citer cet article
Jorg Koppitz; K. Tinpun; Jorg Koppitz; K. Tinpun. Relative rank of the finite full transformation semigroup with restricted range. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 347-356. http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a13/
@article{AMUC_2016_85_2_a13,
author = {Jorg Koppitz and K. Tinpun and Jorg Koppitz and K. Tinpun},
title = { Relative rank of the finite full transformation semigroup with restricted range},
journal = {Acta mathematica Universitatis Comenianae},
pages = {347--356},
year = {2016},
volume = {85},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a13/}
}
TY - JOUR
AU - Jorg Koppitz
AU - K. Tinpun
AU - Jorg Koppitz
AU - K. Tinpun
TI - Relative rank of the finite full transformation semigroup with restricted range
JO - Acta mathematica Universitatis Comenianae
PY - 2016
SP - 347
EP - 356
VL - 85
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a13/
ID - AMUC_2016_85_2_a13
ER -
%0 Journal Article
%A Jorg Koppitz
%A K. Tinpun
%A Jorg Koppitz
%A K. Tinpun
%T Relative rank of the finite full transformation semigroup with restricted range
%J Acta mathematica Universitatis Comenianae
%D 2016
%P 347-356
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a13/
%F AMUC_2016_85_2_a13
In this paper, we determine the relative rank of the semigroup T(X; Y ) of all transformations on a nite set X with restricted range Y modulo the semigroup of all extensions of the bijections on Y , modulo the idempotent order-preserving transformations in T(X; Y ), and modulo the semigroup of all order-preserving transformations in T(X; Y ).
