CLOSURE EXTENDED DOUBLE STONE ALGEBRAS
Lei-Bo Wang · 2013
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 lattice endomorphism on L with x x = x and the operations x7! x , x7! x + and x7! x are linked by the identities x = x and x + = x + . In this paper, we characterize congruences on a CDS-algebra, and show that there are precisely seven non-isomorphic subdirectly irreducible members in the class of these algebras and give a complete description of them.