| Abstrakt: |
Consider a Galois connection (α, α) on an ordered set P and a Galois connection (β, β) on the dually ordered set $$\tilde P$$ . Arbitrary compositions of these Galois connections form a monoid. In this paper we will examine this monoid. First we prove that it is a regular monoid and then we construct two special Galois connections a and b such that every monoid of the above type is a homomorphic image of the monoid generated by a and b, and we give a solution of the word problem of the latter monoid. [ABSTRACT FROM AUTHOR] |
Full text from SpringerLink