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In 1932, Lehmer [4] gave the definition
of a ternary semigroup. We can see that any semigroup can be
reduced to a ternary semigroup. In this paper, we give some auxiliary results which are also
necessary for our considerations and characterize the relationship between
the (0-)minimal and maximal ordered lateral ideals and the lateral simple and lateral 0-simple ordered ternary semigroups analogous to the characterizations
of minimal and maximal left ideals in ordered semigroups
considered by Cao and Xu [2].
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참고문헌 (5)
참고문헌 신청
D. H. Lehmer / 1932 / A ternary analogue of abelian groups / Amer. J. Math. 54 (2) : 329 ~ 338
F. M. Sioson / 1965 / Ideal theory in ternary semigroups / Math. Japon. 10 : 63 ~ 84
M. Arslanov / 2002 / A note on minimal and maximal ideals of ordered semigroups / Lobachevskii J. Math. 11 : 3 ~ 6
V. N. Dixit / 1995 / A note on quasi and bi-ideals in ternary semigroups / Internat. J. Math. Math. Sci. 18 (3) : 501 ~ 508
Y. Cao / 2000 / On minimal and maximal left ideals in ordered semigroups / Semigroup Forum 60 (2) : 202 ~ 207
F. M. Sioson / 1965 / Ideal theory in ternary semigroups / Math. Japon. 10 : 63 ~ 84
M. Arslanov / 2002 / A note on minimal and maximal ideals of ordered semigroups / Lobachevskii J. Math. 11 : 3 ~ 6
V. N. Dixit / 1995 / A note on quasi and bi-ideals in ternary semigroups / Internat. J. Math. Math. Sci. 18 (3) : 501 ~ 508
Y. Cao / 2000 / On minimal and maximal left ideals in ordered semigroups / Semigroup Forum 60 (2) : 202 ~ 207
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