The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “A normal form for some semigroups generated by idempotents”

Generalized F -semigroups

E. Giraldes, P. Marques-Smith, Heinz Mitsch (2005)

Mathematica Bohemica

Similarity:

A semigroup S is called a generalized F -semigroup if there exists a group congruence on S such that the identity class contains a greatest element with respect to the natural partial order S of S . Using the concept of an anticone, all partially ordered groups which are epimorphic images of a semigroup ( S , · , S ) are determined. It is shown that a semigroup S is a generalized F -semigroup if and only if S contains an anticone, which is a principal order ideal of ( S , S ) . Also a characterization by means...