On TL-bi-ideals of ternary semigroups
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DOI:
https://doi.org/10.26637/MJM0602/0024Abstract
We introduce the notions of $T L$-ternary subsemigroup and $T L$-bi-ideals of a ternary semigroup. We redefine $T L$-ternary subsemigroup and $T L$-bi-ideals using $T$-product on $L$-sets . We introduce the notion of $T$-intersection of $L$-sets. We establish that $T$-intersection of two $T L$-bi-ideals is again a $T L$-bi-ideal. We establish necessary and sufficient conditions for a pre-image of $L$-set under homomorphism to be a $T L$-ideal. We introduce the notion of $T L$-level sets. We characterize $T L$-bi-ideal by $T L$-level sets.
Keywords:
T-norm, L-set, TL-subsemigroup, TL-bi-ideal, TL-level setMathematics Subject Classification:
Mathematics- Pages: 451-456
- Date Published: 01-04-2018
- Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)
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