Clones in topology and algebra.
Finitely generated almost universal varieties of 0-lattices.
Limit preserving full embeddings.
Automorphism Groups of Finite Distributive Lattices with a Given Sublattice of Fixed Points.
Endomorphisms of complete Heyting algebras.
Automorphism Groups of Posets and Lattices with a Given Subset of Fixed Points.
V-Free Products of Hopfian Lattices.
Agassiz sum of algebras
A Priestley view of spatialization of frames
Finite commutative monoids of open maps
On synchronized relatively full embeddings and -universality
Frames in Priestley's duality
Finitely generated universal varieties of distributive double -algebras
On clones determined by their initial segments
On Priestley duals of products
Equimorphy in varieties of double Heyting algebras
We show that any finitely generated variety V of double Heyting algebras is finitely determined, meaning that for some finite cardinal n(V), any class ⊆ V consisting of algebras with pairwise isomorphic endomorphism monoids has fewer than n(V) pairwise non-isomorphic members. This result complements the earlier established fact of categorical universality of the variety of all double Heyting algebras, and contrasts with categorical results concerning finitely generated varieties of distributive...
Almost ff-universal and q-universal varieties of modular 0-lattices
A variety 𝕍 of algebras of a finite type is almost ff-universal if there is a finiteness-preserving faithful functor F: 𝔾 → 𝕍 from the category 𝔾 of all graphs and their compatible maps such that Fγ is nonconstant for every γ and every nonconstant homomorphism h: FG → FG' has the form h = Fγ for some γ: G → G'. A variety 𝕍 is Q-universal if its lattice of subquasivarieties has the lattice of subquasivarieties of any quasivariety of algebras of a finite type as the quotient of its sublattice....
Homomorphisms of unary algebras and of their expansions
Frattini sublattices in varieties of lattices
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