Concerning one inverse semigroup related to the group of affine transformations of the field F5

Abstract

Let AF5 be a group of affine transformations of the field . The set of all injections, each of which is included in some affine transformations with respect to the usual operations of composition of binary relations forming inverse semigroup, which we denoted by I(AF5) in this paper we study various properties of semigroup I(AF5) In particular, we describes the group of automorphisms and congruency on I(AF5) Also we give answers to some combinatorial questions.