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arXiv · 1411.2062

A note on regular De Morgan semi-Heyting algebras

Hanamantagouda P. Sankappanavar
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Abstract

The purpose of this note is two-fold. Firstly, we prove that the variety RDMSH1 of regular De Morgan semi-Heyting algebras of level 1 satisfies Stone identity and present (equational) axiomatizations for several subvarieties of RDMSH1. Secondly, we give a concrete description of the lattice of subvarieties of the variety RDQDStSH1 of regular dually quasi-De Morgan Stone semi-Heyting algebras that contains RDMSH1 . Furthermore, we prove that every subvariety of RDQDStSH1, and hence of RDMSH1, has Amalgamation Property. The note concludes with some open problems for further investigation.

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Hanamantagouda P. Sankappanavar. 2014-11-08. A note on regular De Morgan semi-Heyting algebras. https://arxiv.org/abs/1411.2062

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