Abstract
The main subject of this paper is the description of the congruences on certain monoids of transformations on a finite chain X-n with it elements. Namely, we consider the monoids ORn and PORn of all full, respectively partial, transformations on X-n that preserve or reverse the orientation, as well as their respective submonoids OPn and POPn of all orientation-preserving elements. The inverse monoid PORIn of all injective elements of PORn is also considered. (C) 2008 Elsevier Inc. All rights reserved.
Original language | Unknown |
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Pages (from-to) | 743-757 |
Journal | Journal of Algebra |
Volume | 321 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2009 |