IDEALS AND QUOTIENTS OF INCLINE ALGEBRAS

  • Ahn, Sun-Shin (Department of Mathematics Education Dongguk University) ;
  • Jun, Young-Bae (Department of Mathematics Eduction Gyeongsang National University) ;
  • Kim, Hee-Sik (Department of Mathematics Hanyan University)
  • Published : 2001.10.01

Abstract

In this paper we introduce the notion of quotient in-cline and obtain the structure of incline algebra. Moreover, we also introduce the notion of prime and maximal ideal in incline, and study some relations between them in incline algebra.

Keywords

References

  1. Structure of topological inclines S.S. Ahn
  2. PU. M. A. v.8 Permanents over inclines and other semirings
  3. Incline Algebra and Applications Z.Q. Cao;K.H. Kim;F.W. Roush
  4. Fuzzy subinclines (ideals) of incline algebras, (to appear in Fuzzy Sets and Systems) Y.B. Jun;S.S. Ahn;H.S. Kim
  5. Fuzzy Sets and Systems. v.72 Inclines of algebraic structures K.H. Kim;F.W. Roush
  6. Incline Algebra and Applications K.H. Kim
  7. Algebra Colloquium v.4 Representation of inclines K.H. Kim;F.W. Roush;G. Markowsky