J4 ›› 2011, Vol. 46 ›› Issue (12): 66-69.

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The companion semi-rings of IS-algebras

YANG Wen-qi   

  1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China
  • Received:2010-10-30 Online:2011-12-20 Published:2011-12-24

Abstract:

The companion semi-rings and the ring parts of IS-algebras are introduced. By discussing their properties, the relations between the general IS-algebras and the semi-rings or rings are shown, and some IS-algebras are characterized.

Key words: BCI-algebra; IS-algebra;  companion semi-ring;  ring part; ideal

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