CLOSURE EXTENDED DOUBLE STONE ALGEBRAS
- Lei-Bo Wang
- 2013
Mathematics
The variety CDS of closure extended double Stone algebras consists of the algebras (L;^;_; ; + ; ; 0; 1) of type (2; 2; 1; 1; 1; 0; 0) where (L;^;_; ; + ; 0; 1) is a double Stone algebra, is a…
Congruence Pairs of Algebras Abstracting Double Kleene and Stone algebras
- Lei-Bo Wang
- 2013
Mathematics
: In this note, we extend the result of Beazer on congruence pairs of K 2 -algebras to the class of double K 2 -algebras. We show that any congruence α on a double K 2 -algebra can be represented by…
The Lattices of Kernel Ideals in Pseudocomplemented De Morgan Algebras
- Xue-Ping WangLei-Bo Wang
- 6 February 2016
Mathematics
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…
The Lattices of Kernel Ideals in Pseudocomplemented De Morgan Algebras
- Xue-Ping WangLei-Bo Wang
- 1 March 2017
Mathematics
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…
Congruences and Kernel Ideals on a Subclass of Ockham Algebras
- Xue-Ping WangLei-Bo Wang
- 1 August 2015
Mathematics
In this note, it is shown that the set of kernel ideals of a Kn, 0-algebra L is a complete Heyting algebra, and the largest congruence on L such that the given kernel ideal as its congruence class is…
Congruences and Kernel Ideals on a Subclass of Ockham Algebras
- Xue-Ping WangLei-Bo Wang
- 28 October 2014
Mathematics
In this note, it is shown that the set of kernel ideals of a Kn, 0-algebra L is a complete Heyting algebra, and the largest congruence on L such that the given kernel ideal as its congruence class is…