On ternary left almost semigroups
Résumé
A ternary LA-semigroup is a nonempty set together with a ternary multiplication which is non associative. Analogous to the theory of LA-semigroups, a regularity condition on a ternary LA-semigroup is introduced and the properties of ternary LA-semigroups are studied. Some characterizations of quasi-prime and quasi-ideals were obtained.
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Références
V. N. Dixit and S. Dewan, A note on quasi and bi-ideals in ternary semigroups, Int. J. Math. Sci., 18 (1995), 501 – 508.
V. N. Dixit and S. Dewan, Minimal quasi-ideals in ternary semigroups, Indian J. Pure Appl. Math., 28 (1997), 255 – 632.
D. H. Lehmer, A ternary analogue of abelian groups, Amer. J. Math., 59(1932), 329 – 338.
J. Los, On the extending of models I,Fundam. Math., 42(1955), 38 – 54.
F. M. Sioson, Ideal theory in ternary semigroups, Math. Japonica, 10 (1965), 63 – 84.
S. Bashir and M. Shabir, Pure ideals in ternary semigroups, Quasigroups and Related Systems, 17(2009), 149 – 160.
M. L. Santiago and S. Sri Bala, Ternary semigroups, Semigroup Forum, 81(2010), no. 81, 380– 388.
M. K. Dubey and R. Anuradha, On generalised quasi-ideals and bi-ideals in ternary semigroups, J. Math. Anal. Appl., 37(2014), 27 – 37.
V. R. Daddi and Y. S. Pawar, Pseudo-ideals in ternary semigroups, Southeast Asian Bulletin of Mathematics, 35(2011), 379 – 387.
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