On maximal subsemigroups of partial Baer-Levi semigroups
Suppose that X is an infinite set with | X | ≥ q ≥ ℘0and I (X) is the symmetric inverse semigroup defined on X. In 1984, Levi and Wood determined a class of maximal subsemigroups MA(using certain subsets A of X) of the Baer-Levi semigroup B L (q) = {α ∈ I (X): dom α = X and | X\Xα | = q }. Later, in...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959284170&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50123 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-50123 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-501232018-09-04T04:24:42Z On maximal subsemigroups of partial Baer-Levi semigroups Boorapa Singha Jintana Sanwong Mathematics Suppose that X is an infinite set with | X | ≥ q ≥ ℘0and I (X) is the symmetric inverse semigroup defined on X. In 1984, Levi and Wood determined a class of maximal subsemigroups MA(using certain subsets A of X) of the Baer-Levi semigroup B L (q) = {α ∈ I (X): dom α = X and | X\Xα | = q }. Later, in 1995, Hotzel showed that there are many other classes of maximal subsemigroups of B L (q), but these are far more complicated to describe. It is known that B L (q) is a subsemigroup of the partial Baer-Levi semigroup PS(q)={α ∈ I(X):| X\X α | = q }. In this paper, we characterize all maximal subsemigroups of P S (q) when | X | > q, and we extend MAto obtain maximal subsemigroups of P S (q) when | X | = q. Copyright © 2011 Boorapa Singha and Jintana Sanwong. 2018-09-04T04:24:42Z 2018-09-04T04:24:42Z 2011-06-22 Journal 16870425 01611712 2-s2.0-79959284170 10.1155/2011/489674 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959284170&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50123 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics Boorapa Singha Jintana Sanwong On maximal subsemigroups of partial Baer-Levi semigroups |
| description |
Suppose that X is an infinite set with | X | ≥ q ≥ ℘0and I (X) is the symmetric inverse semigroup defined on X. In 1984, Levi and Wood determined a class of maximal subsemigroups MA(using certain subsets A of X) of the Baer-Levi semigroup B L (q) = {α ∈ I (X): dom α = X and | X\Xα | = q }. Later, in 1995, Hotzel showed that there are many other classes of maximal subsemigroups of B L (q), but these are far more complicated to describe. It is known that B L (q) is a subsemigroup of the partial Baer-Levi semigroup PS(q)={α ∈ I(X):| X\X α | = q }. In this paper, we characterize all maximal subsemigroups of P S (q) when | X | > q, and we extend MAto obtain maximal subsemigroups of P S (q) when | X | = q. Copyright © 2011 Boorapa Singha and Jintana Sanwong. |
| format |
Journal |
| author |
Boorapa Singha Jintana Sanwong |
| author_facet |
Boorapa Singha Jintana Sanwong |
| author_sort |
Boorapa Singha |
| title |
On maximal subsemigroups of partial Baer-Levi semigroups |
| title_short |
On maximal subsemigroups of partial Baer-Levi semigroups |
| title_full |
On maximal subsemigroups of partial Baer-Levi semigroups |
| title_fullStr |
On maximal subsemigroups of partial Baer-Levi semigroups |
| title_full_unstemmed |
On maximal subsemigroups of partial Baer-Levi semigroups |
| title_sort |
on maximal subsemigroups of partial baer-levi semigroups |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959284170&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50123 |
| _version_ |
1681423533184385024 |