On relative ranks of finite transformation semigroups with restricted range
Author(s) -
Ilinka Dimitrova,
Jörg Koppitz
Publication year - 2021
Publication title -
ukrains’kyi matematychnyi zhurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i5.288
Subject(s) - modulo , mathematics , semigroup , rank (graph theory) , transformation (genetics) , order (exchange) , set (abstract data type) , range (aeronautics) , finite set , discrete mathematics , combinatorics , pure mathematics , computer science , mathematical analysis , biochemistry , chemistry , materials science , finance , economics , composite material , gene , programming language
UDC 512.5We determine the relative rank of the semigroup of all transformations on a finite chain with restricted range modulo the set of all orientation-preserving transformations in Moreover, we state the relative rank of the semigroup modulo the set of all order-preserving transformations in In both cases we characterize the minimal relative generating sets.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom