Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2013.07.17
  • Accepted : 2013.10.08
  • Published : 2013.12.25
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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.

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