Subsemigroup structure of finite transformation semigroups.

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 idem- potents 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.

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Monterey, California ; Naval Postgraduate School

Year dc:date.issued

1970

Author dc:creator

• Higgins, James Charles, III

Advisor dc:contributor.advisor

• Wilde, Carroll O.

Statement dc:rights

• This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/10945/15187

OAI identifier oai:identifier

oai:calhoun.nps.edu:10945/15187