Abstract
We consider, in the context of an MS-algebra L, the ideals I of L that are kernels of L. We characterize two kinds of de Morgan algebras: the class Boolean algebras and the absolutely indecomposable de Morgan algebras. We show that all the e-ideals I of L are kernel ideals of L if and only if the subalgebra \(L^{00}\) of L can only be these two kinds of de Morgan algebras.
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Presented by Andrzej Indrzejczak; Received September 2, 2017.
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Luo, C., Zheng, Y. MS-Algebras Whose e-Ideals are Kernel Ideals. Stud Logica 107, 659–668 (2019). https://doi.org/10.1007/s11225-018-9805-9
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DOI: https://doi.org/10.1007/s11225-018-9805-9