Subsemigroup structure of finite transformation semigroups.
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Authors
Higgins, James Charles III
Subjects
transformation semigroup
idempotent
subsemigroup
isomorphism
idempotent
subsemigroup
isomorphism
Advisors
Wilde, Carroll O.
Date of Issue
1970-06
Date
June 1970
Publisher
Monterey, California ; Naval Postgraduate School
Language
en_US
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 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.
Type
Thesis
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
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.