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http://dx.doi.org/10.4134/CKMS.2002.17.2.229

ON r-IDEALS IN INCLINE ALGEBRAS  

Ahn, Sun-Shin (Department of Mathematics Education Dongguk University)
Kim, Hee-Sik (Department of Mathematics Hanyang University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.2, 2002 , pp. 229-235 More about this Journal
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.
Keywords
incline; field incline; r-ideal; maximal ideal; annihilator;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Permanents over inclines and other semirings /
[ S.S.Ahn ] / PU.M.A.
2 /
[ Z.Q.Cao;K.H.Kim;F.W.Roush ] / Incline algebra and applications
3 Inclines of algebraic structures /
[ K.H.Kim;F.W.Roush ] / Fuzzy Sets and Systems   DOI   ScienceOn
4 Ideals and quotients of incline algebras /
[ S.S.Ahn;Y.B.Jun;H.S.kim ] / Commun.Korean Math.Soc.
5 Representation of inclines /
[ K.H.Kim;F.W.Roush;G.Markowsky ] / Algebra Colloquium