on maximal subsemigroups of partial baer-levi semigroups
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ID: 184826
2011
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Abstract
Suppose that X is an infinite set with |X|≥q≥ℵ0 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 BL(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 BL(q), but these are far more complicated to describe. It is known that BL(q) is a subsemigroup of the partial Baer-Levi semigroup PS(q)={α∈I(X):|X∖Xα|=q}. In this paper, we characterize all maximal subsemigroups of PS(q) when |X|>q, and we extend MA to obtain maximal subsemigroups of PS(q) when |X|=q.
| Reference Key |
singha2011internationalon
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| Authors | ;Boorapa Singha;Jintana Sanwong |
| Journal | structural engineering and mechanics |
| Year | 2011 |
| DOI |
10.1155/2011/489674
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