Ideals in residuated lattices

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Abstract

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.

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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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