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http://dx.doi.org/10.5831/HMJ.2013.35.4.607

CUBIC IDEALS IN SEMIGROUPS  

Jun, Young Bae (Department of Mathematics Education (and RINS), Gyeongsang National University)
Khan, Asghar (Department of Mathematics, Abdul Wali Khan University)
Publication Information
Honam Mathematical Journal / v.35, no.4, 2013 , pp. 607-623 More about this Journal
Abstract
Operational properties of cubic sets are first investigated. The notion of cubic subsemigroups and cubic left (resp. right) ideals are introduced, and several properties are investigated. Relations between cubic subsemigroups and cubic left (resp. right) ideals are discussed. Characterizations of cubic left (resp. right) ideals are considered, and how the images or inverse images of cubic subsemigroups and cubic left (resp. right) ideals become cubic subsemigroups and cubic left (resp. right) ideals, respectively, are studied.
Keywords
Cubic subsemigroups; cubic left (resp. right) ideal; cubic property; (inverse) cubic transformation;
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