On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains

Abstract

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-preserving transformations.

References in corpus (1)

• A note on generators of the endomorphism semigroup of an infinite countable chain

Cited by in corpus (1)

• On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range