논문KCI 등재
On Ordered Ternary Semigroups
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참고문헌
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주제분류수학
초록
We introduce the concepts of ordered quasi-ideals, ordered bi-ideals in an ordered ternary semigroup and study their properties. Also regular ordered ternary semigroup is de ned and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.
Abstract
We introduce the concepts of ordered quasi-ideals, ordered bi-ideals in an ordered ternary semigroup and study their properties. Also regular ordered ternary semigroup is de ned and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.
참고문헌 (7)
- Aiyared Iampan, "Characterizing the minimality and maximality of ordered lateral ideals in ordered ternary semigroups", 대한수학회지, 46(4), pp.775~784 (2009), 대한수학회
- V. N. Dixit, "A note on quasi and Bi-ideals in ternary semigroups", Int. J. Math. Sci., 18, pp.501~508 (1995)
- D. H. Lehmer, "A ternary analogue of abelian groups", Ams. J. Math., 59, pp.329~338 (1932)
- S. K. Lee, "Characterization of Regular po-semigroups", Comm. Korean Math. Soc., 14(4), pp.687~691 (1999)
- N. Kehayopulu, "Bi-ideals in ordered semigroups and ordered groups", Jou. of Math. Sci., 112(4) (2002)
- M . L. Santigo, "Regular ternary semigroups", Bull. Cal. Math. Soc., 82, pp.67~71 (1990)
- F. M. Sioson, "Ideal Theory in ternary semigroups", Math. Japan., 10, pp.63~84 (1965)
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