IJPAM: Volume 118, No. 1 (2018)
Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND
Centre of Excellence in Mathematics, CHE, Si Ayuttaya Rd.,
Bangkok 10400, THAILAND
-semigroup are introduced, and some examples are also presented. The structure of a -semigroup containing right bases will be studied. Indeed, using a characterization of right bases, we prove that the right bases of a -semigroup have the same cardinality. Moreover, the compliment of the union of all right bases of a -semigroup, if it is non-empty, is a left ideal of the -semigroup. Finally, a characterization when the compliment of the union of all right bases of a -semigroup is maximal will be given.
Published: February 18, 2018
AMS Subject Classification: 20M20, 15A04
Key Words and Phrases: -semigroup, left (right) -ideal, left (right) base
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 125 - 135
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