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...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79959284170&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50123 |
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| Institution: | Chiang Mai University |
| Summary: | 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. |
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