In this paper,we first introduce the notion of ideals in residuated lattices as a natural generalization of the concept of ideals in BL-algebras. Then we give several equivalent characterizations of ideals in residuated lattices. Finally, the congruence induced by ideals in residuated lattices is also obtained.
CITATION STYLE
Luo, Q. J. (2017). Ideals in residuated lattices. In Advances in Intelligent Systems and Computing (Vol. 510, pp. 407–414). Springer Verlag. https://doi.org/10.1007/978-3-319-46206-6_39
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