Geodesic
The maximal subsemigroups of the ideals of some semigroups of partial injections
Discussiones Mathematicae. General Algebra and Applications, Tome 29 (2009) no. 2, pp. 153-167

Voir la notice de l'article provenant de la source Library of Science

We study the structure of the ideals of the semigroup IO_n of all isotone (order-preserving) partial injections as well as of the semigroup IM_n of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of IO_n and IM_n.
Keywords: finite transformation semigroup, isotone and monotone partial transformations, maximal subsemigroups 
@article{DMGAA_2009_29_2_a3,
     author = {Dimitrova, Ilinka and Koppitz, J\"org},
     title = {The maximal subsemigroups of the ideals of some semigroups of partial injections},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {153--167},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2009_29_2_a3/}
}
TY  - JOUR
AU  - Dimitrova, Ilinka
AU  - Koppitz, Jörg
TI  - The maximal subsemigroups of the ideals of some semigroups of partial injections
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2009
SP  - 153
EP  - 167
VL  - 29
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2009_29_2_a3/
LA  - en
ID  - DMGAA_2009_29_2_a3
ER  - 
%0 Journal Article
%A Dimitrova, Ilinka
%A Koppitz, Jörg
%T The maximal subsemigroups of the ideals of some semigroups of partial injections
%J Discussiones Mathematicae. General Algebra and Applications
%D 2009
%P 153-167
%V 29
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2009_29_2_a3/
%G en
%F DMGAA_2009_29_2_a3
Dimitrova, Ilinka; Koppitz, Jörg. The maximal subsemigroups of the ideals of some semigroups of partial injections. Discussiones Mathematicae. General Algebra and Applications, Tome 29 (2009) no. 2, pp. 153-167. http://geodesic.mathdoc.fr/item/DMGAA_2009_29_2_a3/