Accession Number : AD0709114

Title :   SUBSEMIGROUP STRUCTURE OF FINITE TRANSFORMATION SEMIGROUPS.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Higgins,James Charles , III

Report Date : JUN 1970

Pagination or Media Count : 33

Abstract : Both necessary conditions and sufficient conditions in order that a subset of a finite transformation semigroup be a subsemigroup are developed in this paper. The existence of several subsemigroups of various orders is established. Also, some results concerning idempotents and generators of idempotents are proved. Then certain classes of subsemigroups are defined according to their idempotent structure and isomorphisms are demonstrated between these classes. Examples from the transformation semigroup on three elements are supplied throughout the paper. (Author)

Descriptors :   (*GROUPS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS)), THEOREMS, THESES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE