Open AccessOn relative ranks of finite transformation semigroups with restricted range
Author(s) -
Ilinka Dimitrova,
Jörg Koppitz
Publication year - 2021
Publication title -
ukraïnsʹkij matematičnij žurnal
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.