Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON KERNELS AND ANNIHILATORS OF LEFT-REGULAR MAPPINGS IN d-ALGEBRAS

  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University) ;
  • So, Keum-Sook (Department of Mathematics, Hallym University)
  • Received : 2008.07.05
  • Published : 2008.12.25
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Abstract

In this paper, left-regular maps on d-algebras are defined. These mappings show behaviors reminiscent of homomorphisms on d-algebras which have been studied elsewhere. In particular for these mappings kernels, annihilators and co-annihilators are defined and some of their properties are investigated, especially in the setting of positive implicative d-algebras.

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