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MS-Algebras Whose e-Ideals are Kernel Ideals
Studia Logica 107 (4):659-668 (2019)
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 \ of L can only be these two kinds of de Morgan algebras.Other Versions
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References found in this work
Introduction to Lattices and Order.B. A. Davey & H. A. Priestley - 2002 - Cambridge University Press.
Congruences and Kernel Ideals on a Subclass of Ockham Algebras.Xue-Ping Wang & Lei-Bo Wang - 2015 - Studia Logica 103 (4):713-731.
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