@article{8d1231b024ff4cc692c485ed012a6ce4,
title = "Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set",
abstract = "We consider the inverse submonoids OPDIn , MDIn and ODIn of the dihedral inverse monoid DIn of all orientation-preserving, monotone and order-preserving transformations, respectively. Our goal is to exhibit presentations for each of these three monoids.",
keywords = "Dihedral inverse monoid, Monotonicity, Orientation, Presentations, Transformations",
author = "Ilinka Dimitrova and Fernandes, {V{\'i}tor H.} and J{\"o}rg Koppitz and Quinteiro, {Teresa M.}",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2023",
month = oct,
doi = "10.1007/s00233-023-10396-5",
language = "English",
volume = "107",
pages = "315--338",
journal = "Semigroup Forum",
issn = "0037-1912",
publisher = "Springer",
number = "2",
}