Abstract
The theory of generalized annihilators on BL-algebras are developed in this paper. Firstly, some properties of generalized annihilators on BL-algebras are supplemented. Secondly, we introduce the notion of involutory ideals relative to an ideal I and denote the set of all of them by SI(L). Then SI(L) can be made into a complete Boolean lattice and a BL-algebrawith respect to the suit operations, respectively. Finally, the prime ideals can be characterized by the generalized annihilators, and the generalized annihilators of the quotient algebra induced by an ideal I in a BL-algebra L are studied.
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Zou, Y. X., Xin, X. L., & Jun, Y. B. (2017). On generalized annihilators in BL-algebras. In Advances in Intelligent Systems and Computing (Vol. 510, pp. 451–461). Springer Verlag. https://doi.org/10.1007/978-3-319-46206-6_43
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