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math.RA2020★ 3 cited
On relative ranks of finite transformation semigroups with restricted range
Ilinka Dimitrova, Jörg Koppitz
In this paper, we determine the relative rank of the semigroup of all transformations on a finite chain with restricted range modulo the set …
math.RA2020★ 2 cited
On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains
Ilinka Dimitrova, Jörg Koppitz
In this paper, we determine the relative rank of the semigroup OP(X) of all orientation-preserving transformations on infinite chains modulo the semigroup O(X) of all order-preserv…