On maximal subsemigroups of partial Baer-Levi semigroups
Suppose that X is an infinite set with | X | ≥ q ≥ ℘0 and 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,...
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th-cmuir.6653943832-65362014-08-30T03:24:19Z On maximal subsemigroups of partial Baer-Levi semigroups Singha B. Sanwong J. Suppose that X is an infinite set with | X | ≥ q ≥ ℘0 and 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 MA to obtain maximal subsemigroups of P S (q) when | X | = q. Copyright © 2011 Boorapa Singha and Jintana Sanwong. 2014-08-30T03:24:19Z 2014-08-30T03:24:19Z 2011 Article 1611712 10.1155/2011/489674 http://www.scopus.com/inward/record.url?eid=2-s2.0-79959284170&partnerID=40&md5=cb4f02eb27e203af9a7e45c0180d2f06 http://cmuir.cmu.ac.th/handle/6653943832/6536 English |
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Suppose that X is an infinite set with | X | ≥ q ≥ ℘0 and 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 MA to obtain maximal subsemigroups of P S (q) when | X | = q. Copyright © 2011 Boorapa Singha and Jintana Sanwong. |
| format |
Article |
| author |
Singha B. Sanwong J. |
| spellingShingle |
Singha B. Sanwong J. On maximal subsemigroups of partial Baer-Levi semigroups |
| author_facet |
Singha B. Sanwong J. |
| author_sort |
Singha B. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79959284170&partnerID=40&md5=cb4f02eb27e203af9a7e45c0180d2f06 http://cmuir.cmu.ac.th/handle/6653943832/6536 |
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1681420632227577856 |