On Maximal Subsemigroups of Partial Baer-Levi Semigroups
Joint Authors
Sanwong, Jintana
Singha, Boorapa
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Singha, Boorapa& Sanwong, Jintana. 2011. On Maximal Subsemigroups of Partial Baer-Levi Semigroups. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-475694
Modern Language Association (MLA)
Singha, Boorapa& Sanwong, Jintana. On Maximal Subsemigroups of Partial Baer-Levi Semigroups. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-475694
American Medical Association (AMA)
Singha, Boorapa& Sanwong, Jintana. On Maximal Subsemigroups of Partial Baer-Levi Semigroups. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-475694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475694