%0 Journal Article
%T Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Sankappanavar, Hanamantagouda P.
%D 2014
%\ 07/01/2014
%V 2
%N 1
%P 65-82
%! Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity
%K Regular dually quasi-De Morgan semi-Heyting algebra of level 1
%K dually
pseudocomplemented semi-Heyting algebra
%K De Morgan semi-Heyting
algebra
%K strongly blended dually quasi-De Morgan Stone semi-Heyting algebra
%K discriminator variety
%K simple
%K directly indecomposable
%K subdirectly
irreducible
%K equational base
%R
%X This paper is the second of a two part series. In this Part, we prove, using the description of simples obtained in Part I, that the variety $mathbf{RDQDStSH_1}$ of regular dually quasi-De Morgan Stone semi-Heyting algebras of level 1 is the join of the variety generated by the twenty 3-element $mathbf{RDQDStSH_1}$-chains and the variety of dually quasi-De Morgan Boolean semi-Heyting algebras--the latter is known to be generated by the expansions of the three 4-element Boolean semi-Heyting algebras. As consequences of our main theorem, we present (equational) axiomatizations for several subvarieties of $mathbf{RDQDStSH_1}$. The paper concludes with some open problems for further investigation.
%U https://cgasa.sbu.ac.ir/article_6799_7ce60a297db56c047a8e3b9e503e48ee.pdf