Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON r-IDEALS IN INCLINE ALGEBRAS

  • Ahn, Sun-Shin (Department of Mathematics Education Dongguk University) ;
  • Kim, Hee-Sik (Department of Mathematics Hanyang University)
  • Published : 2002.04.01
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Abstract

In this paper we show that if K is an incline with multiplicative identity and I is an r-ideal of k containing a unit u, then I = K. Moreover, we show that in a non-zero incline K with multiplicative identity and zero element, every proper r-ideal in K is contained in a maximal r-ideal of K.

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References

  1. PU.M.A. v.8 Permanents over inclines and other semirings S.S.Ahn
  2. Commun.Korean Math.Soc. Ideals and quotients of incline algebras S.S.Ahn;Y.B.Jun;H.S.kim
  3. Incline algebra and applications Z.Q.Cao;K.H.Kim;F.W.Roush
  4. Fuzzy Sets and Systems v.72 Inclines of algebraic structures K.H.Kim;F.W.Roush https://doi.org/10.1016/0165-0114(94)00350-G
  5. Algebra Colloquium v.4 Representation of inclines K.H.Kim;F.W.Roush;G.Markowsky

Cited by

  1. ON RIGHT DERIVATIONS OF INCLINE ALGEBRAS vol.26, pp.4, 2013, https://doi.org/10.14403/jcms.2013.26.4.683
  2. ON RIGHT f-DERIVATIONS OF INCLINE ALGEBRAS vol.36, pp.4, 2014, https://doi.org/10.5831/HMJ.2014.36.4.885
  3. ON (f, g)-DERIVATIONS OF INCLINE ALGEBRAS vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.643
  4. The DJL Conjecture for CP Matrices over Special Inclines vol.44, pp.9, 2016, https://doi.org/10.1080/00927872.2015.1087011