@article {
author = {Sankappanavar, Hanamantagouda P.},
title = {Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity},
journal = {Categories and General Algebraic Structures with Applications},
volume = {2},
number = {1},
pages = {65-82},
year = {2014},
publisher = {Shahid Beheshti University},
issn = {2345-5853},
eissn = {2345-5861},
doi = {},
abstract = {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.},
keywords = {Regular dually quasi-De Morgan semi-Heyting algebra of level 1,dually
pseudocomplemented semi-Heyting algebra,De Morgan semi-Heyting
algebra,strongly blended dually quasi-De Morgan Stone semi-Heyting algebra,discriminator variety,simple,directly indecomposable,subdirectly
irreducible,equational base},
url = {https://cgasa.sbu.ac.ir/article_6799.html},
eprint = {https://cgasa.sbu.ac.ir/article_6799_7ce60a297db56c047a8e3b9e503e48ee.pdf}
}