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Volume 4, Issue 1, February 2015, Page: 24-25
Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup
Melis Minisker, Mustafa Kemal University, Department of Mathematics, Antakya, Hatay, Turkey
Received: Jan. 1, 2015;       Accepted: Jan. 21, 2015;       Published: Feb. 1, 2015
DOI: 10.11648/j.pamj.20150401.13      View  2698      Downloads  127
Abstract
In this paper we find a relationship between r2(S) and r2(S⁄ρ) where S is a finite semigroup, ρis a congruence on S and S /ρis the quotient semigroup (/S/ ≥ 2and/ S⁄ρ/ ≥ 2). We also determine r5(S⁄ρ) under certain conditions. Moreover we find prime subsets of S/ρ.
Keywords
Rank, Prime Subset, Congruence, Independent Set
To cite this article
Melis Minisker, Certain Ranks of the Quotient Semigroup S/ρ and Prime Subsets of a Semigroup, Pure and Applied Mathematics Journal. Vol. 4, No. 1, 2015, pp. 24-25. doi: 10.11648/j.pamj.20150401.13
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