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   Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity  
   
نویسنده - -
منبع categories and general algebraic structures with applications - 2014 - دوره : 2 - شماره : 1 - صفحه:65 -82
چکیده    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.
کلیدواژه Regular dually ,quasi-De Morgan ,semi-Heyting algebra of level 1 ,dually pseudocomplemented semi-Heyting algebra ,De Morgan semi-Heyting algebra ,strongly blended ,Stone semi-Heyting algebra ,discriminator variety ,simple ,directly indecomposable ,subdirectly irreducible ,equational base
آدرس Department of Mathematics, State University, Department of Mathematics, State University of New York, New Paltz, NY 12561, ایران
پست الکترونیکی sankapph@newpaltz.edu
 
     
   
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