The maximal subsemigroups of the ideals of some semigroups of partial injections

Ilinka Dimitrova; Jörg Koppitz

Discussiones Mathematicae - General Algebra and Applications (2009)

  • Volume: 29, Issue: 2, page 153-167
  • ISSN: 1509-9415

Abstract

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We study the structure of the ideals of the semigroup I O n of all isotone (order-preserving) partial injections as well as of the semigroup I M 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 I O n and I M n .

How to cite

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Ilinka Dimitrova, and Jörg Koppitz. "The maximal subsemigroups of the ideals of some semigroups of partial injections." Discussiones Mathematicae - General Algebra and Applications 29.2 (2009): 153-167. <http://eudml.org/doc/276858>.

@article{IlinkaDimitrova2009,
abstract = {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 $IM_n$.},
author = {Ilinka Dimitrova, Jörg Koppitz},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {finite transformation semigroup; isotone and monotone partial transformations; maximal subsemigroups; ideals; semigroups of isotone partial injections; semigroups of monotone partial injections; finite transformation semigroups},
language = {eng},
number = {2},
pages = {153-167},
title = {The maximal subsemigroups of the ideals of some semigroups of partial injections},
url = {http://eudml.org/doc/276858},
volume = {29},
year = {2009},
}

TY - JOUR
AU - Ilinka Dimitrova
AU - Jörg Koppitz
TI - The maximal subsemigroups of the ideals of some semigroups of partial injections
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2009
VL - 29
IS - 2
SP - 153
EP - 167
AB - 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 $IM_n$.
LA - eng
KW - finite transformation semigroup; isotone and monotone partial transformations; maximal subsemigroups; ideals; semigroups of isotone partial injections; semigroups of monotone partial injections; finite transformation semigroups
UR - http://eudml.org/doc/276858
ER -

References

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