APM  Vol.1 No.3 , May 2011
A Study on the Conversion of a Semigroup to a Semilattice
ABSTRACT
The main aim of the current research has been concentrated to clarify the condition for converting the inverse semigroups such as S to a semilattice. For this purpose a property the so-called has been de-fined and it has been tried to prove that each inverse semigroups limited with show the specification of a semilattice.

Cite this paper
nullB. Tabatabaie and S. Zebarjad, "A Study on the Conversion of a Semigroup to a Semilattice," Advances in Pure Mathematics, Vol. 1 No. 3, 2011, pp. 73-76. doi: 10.4236/apm.2011.13016.
References
[1]   M. B. Szendrei, “A Generalization of Mcalister’s P- Theorem for E-Unitary Regular Semigroups,” Acta Scientiarum Mathematicarum, Vol. 51, 1987, pp. 229-249.

[2]   M. V. Lawson, “Inverse Semigroups: The Theory of Partial Symmetries,” Word Scientific, Singapore, 1998. doi:10.1142/9789812816689

[3]   J. Renault, “A Groupoid Approach to C*-Algebra, Lecture Notes in Mathematics,” 1st Edition, Springer-Verlang, Berlin, Vol. 793, 1980.

[4]   J. M. Howie, “Fundamentals of Semigroup Theory,” Clarendon Press, Oxford, 1995.

[5]   H. Clifford and G. B. Preston, “The Algebric Theory of Semigroups,” American Mathematical Society, United States, Vol. 1, 1961.

[6]   N. Sieben, “C*-Crossed Products by Partial Actions and Actions of Inverse Semigroups,” Journal of the Australian Mathematical Society, Series A, Vol. 63, No. 1, 1997, pp. 32-46.

[7]   R. Exel, “Inverse Semigroups and Combinatorial C*- Algebras,” Bulletin of the Brazilian Mathematical Society, New Series, Vol. 39, No. 2, 2008, pp. 191-313.

[8]   M. V. Lawson, “Inverse Semigroups, The Theory of Partial Symmetries,” Word Scientific, Singapore, 1998.

 
 
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