# 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

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topIlinka 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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