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Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity مقاله



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 RDQDStSH1 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 RDQDStSH1-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 RDQDStSH1. The paper concludes with some open problems for further investigation.

کلیدواژه ها:

Simple ، Regular dually quasi-De Morgan semi-Heyting algebra of level 1 ، dually pseudocomple- mented semi-Heyting algebra ، strongly blended dually quasi-De Morgan Stone semi-Heyting algebra ، directly i ، discriminator variety ، Heyting algebra ، De Morgan semi

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