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ON KERNELS AND ANNIHILATORS OF LEFT-REGULAR MAPPINGS IN d-ALGEBRAS

  • Received : 2008.07.05
  • Published : 2008.12.25

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.

Keywords

d-algebra;d($d^#,d^*$)-ideal;left regular mapping;kernel;(co-)annihilator

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Cited by

  1. COUPLED N-STRUCTURES APPLIED TO IDEALS IN d-ALGEBRAS vol.28, pp.4, 2013, https://doi.org/10.4134/CKMS.2013.28.4.709
  2. d-ALGEBRAS WITH COMPLICATED CONDITION vol.31, pp.4, 2009, https://doi.org/10.5831/HMJ.2009.31.4.489