TY  - JOUR
A1  - Dimitrova, Ilinka
A1  - Koppitz, Jörg
T1  - On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range
JF  - Communications in algebra
N2  - Let X be an infinite linearly ordered set and let Y be a nonempty subset of X. We calculate the relative rank of the semigroup OP(X,Y) of all orientation-preserving transformations on X with restricted range Y modulo the semigroup O(X,Y) of all order-preserving transformations on X with restricted range Y. For Y = X, we characterize the relative generating sets of minimal size.
KW  - Order-preserving transformations
KW  - orientation-preserving
KW  - transformations
KW  - relative rank
KW  - restricted range
KW  - transformation
KW  - semigroups on infinite chain
Y1  - 2022
U6  - https://doi.org/10.1080/00927872.2021.2000998
SN  - 0092-7872
SN  - 1532-4125
VL  - 50
IS  - 5
SP  - 2157
EP  - 2168
PB  - Taylor & Francis Group
CY  - Philadelphia
ER  - 
TY  - JOUR
A1  - Tinpun, Kittisak
A1  - Koppitz, Jörg
T1  - Generating sets of infinite full transformation semigroups with restricted range
JF  - Acta scientiarum mathematicarum
N2  - In the present paper, we consider minimal generating sets of infinite full transformation semigroups with restricted range modulo specific subsets. In particular, we determine relative ranks.
KW  - generating sets
KW  - transformation semigroups
KW  - restricted range
KW  - relative ranks
Y1  - 2016
U6  - https://doi.org/10.14232/actasm-015-502-4
SN  - 0001-6969
VL  - 82
SP  - 55
EP  - 63
PB  - Institutum Bolyaianum Universitatis Szegediensis
CY  - Szeged
ER  -