Subsemigroup structure of finite transformation semigroups.

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 idempo...

Full description

Bibliographic Details
Main Author: Higgins, James Charles III
Other Authors: Mathematics
Language:en_US
Published: Monterey, California ; Naval Postgraduate School 2012
Online Access:http://hdl.handle.net/10945/15187
id ndltd-nps.edu-oai-calhoun.nps.edu-10945-15187
record_format oai_dc
spelling ndltd-nps.edu-oai-calhoun.nps.edu-10945-151872014-11-27T16:11:09Z Subsemigroup structure of finite transformation semigroups. Higgins, James Charles III Mathematics 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 2012-11-01T22:55:47Z 2012-11-01T22:55:47Z 1970-06 Thesis http://hdl.handle.net/10945/15187 ocm640297481 en_US Monterey, California ; Naval Postgraduate School
collection NDLTD
language en_US
sources NDLTD
description 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
author2 Mathematics
author_facet Mathematics
Higgins, James Charles III
author Higgins, James Charles III
spellingShingle Higgins, James Charles III
Subsemigroup structure of finite transformation semigroups.
author_sort Higgins, James Charles III
title Subsemigroup structure of finite transformation semigroups.
title_short Subsemigroup structure of finite transformation semigroups.
title_full Subsemigroup structure of finite transformation semigroups.
title_fullStr Subsemigroup structure of finite transformation semigroups.
title_full_unstemmed Subsemigroup structure of finite transformation semigroups.
title_sort subsemigroup structure of finite transformation semigroups.
publisher Monterey, California ; Naval Postgraduate School
publishDate 2012
url http://hdl.handle.net/10945/15187
work_keys_str_mv AT higginsjamescharlesiii subsemigroupstructureoffinitetransformationsemigroups
_version_ 1716722391045898240

Similar Items