Green's Relations, Idempotents, and Regular Elements in the Monoid on the Set of All Binary Operations Over a Fixed Set

Presenter Information

Asiyeh Rafieipour, Mathematics

Abstract

We are considering some properties of a monoid structure on the set of all binary operations over a fixed set.

Keywords:

Semigroup, green’s relationships, idempotents, regular elements

Status

G

Department

Mathematics

College

College of Arts and Sciences

Campus

Athens

Faculty Mentor

Lopez-Permouth, Sergio R.

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Green's Relations, Idempotents, and Regular Elements in the Monoid on the Set of All Binary Operations Over a Fixed Set

We are considering some properties of a monoid structure on the set of all binary operations over a fixed set.