TY  - JOUR
A1  - Dimitrova, Ilinka
A1  - Koppitz, Jörg
T1  - On the monoid of all partial order-preserving extensive transformations
JF  - Communications in algebra
N2  - A partial transformation alpha on an n-element chain X-n is called order-preserving if x <= y implies x alpha <= y alpha for all x, y in the domain of alpha and it is called extensive if x <= x alpha for all x in the domain of alpha. The set of all partial order-preserving extensive transformations on X-n forms a semiband POEn. We determine the maximal subsemigroups as well as the maximal subsemibands of POEn.
KW  - Extensive transformation
KW  - Maximal subsemibands
KW  - Maximal subsemigroups
KW  - Rank
KW  - Transformation semigroup
Y1  - 2012
U6  - https://doi.org/10.1080/00927872.2011.557813
SN  - 0092-7872
VL  - 40
IS  - 5
SP  - 1821
EP  - 1826
PB  - Taylor & Francis Group
CY  - Philadelphia
ER  -