The Lattices of Kernel Ideals in Pseudocomplemented De Morgan Algebras |
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| Authors: | Xue-Ping Wang Lei-Bo Wang |
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| Affiliation: | 1.College of Mathematics and Software Science,Sichuan Normal University,Chengdu,People’s Republic of China |
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| Abstract: | In a pseudocomplemented de Morgan algebra, it is shown that the set of kernel ideals is a complete Heyting lattice, and a necessary and sufficient condition that the set of kernel ideals is boolean (resp. Stone) is derived. In particular, a characterization of a de Morgan Heyting algebra whose congruence lattice is boolean (resp. Stone) is given. |
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