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On Ordered Ternary Semigroups
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  • Journal title : Kyungpook mathematical journal
  • Volume 52, Issue 4,  2012, pp.375-381
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2012.52.4.375
 Title & Authors
On Ordered Ternary Semigroups
Daddi, Vanita Rohit; Pawar, Yashashree Shivajirao;
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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 defined and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.
ordered semigroup;ordered ternary semigroup;ordered left ideal;ordered right ideal;ordered lateral ideal;ordered quasi-ideal;ordered bi-ideal;regular ordered ternary semigroup;
 Cited by
Iampan Aiyared, Characterizing the minimality and maximality of ordered lateral ideals in ordered ternary semigroups, J. Korean Math. Soc., 46(4)(2009), 775-784. crossref(new window)

V. N. Dixit and Sarita Diwan, A note on quasi and Bi-ideals in ternary semigroups, Int. J. Math. Sci., 18(1995), 501-508. crossref(new window)

D. H. Lehmer, A ternary analogue of abelian groups, Ams. J. Math., 59(1932), 329- 338.

S. K. Lee and S. G. Kang, Characterization of Regular po-semigroups, Comm. Korean Math. Soc., 14(4)(1999), 687-691.

N. Kehayopulu, J. S. Ponizovskii and M. Tsingelis, 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(1990), 67-71l.

F. M. Sioson, Ideal Theory in ternary semigroups, Math. Japan., 10(1965), 63-84.