Geodesic
Algebraic Geometry Over Complete Lattices and Involutive Pocrims
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 339-347

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An involutive pocrim is a resituated integral partially ordered commutative monoid with an involution operator, consider as an algebra. In this paper it is proved that the variety of a finitely generated by involutive pocrims of finite type has a finitely based equational theory. We also study the algebraic geometry over compete lattices and we investigate the properties of being equationally Noetherian and uω-compact over such lattices.
Keywords: congruence distributive, algebraically closed algebra, involutive pocrims, equationally Noetherian 
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Molkhasi, Ali; Shum, Kar Ping. Algebraic Geometry Over Complete Lattices and Involutive Pocrims. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 339-347. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_2_a6/