On lattices of varieties of universal algebras
On the join of equational classes of idempotent algebras and algebras with constants
On Γ-regular graphs
On sums of direct systems of Boolean algebras
On groups in which idempotent reducts form a chain
On discrete subspaces of a Hilbert space
On the arity of idempotent reduct of abelian groups
Subdirect decompositions of algebras from 2-clone extensions of varieties
Let τ:F → ℕ be a type of algebras, where F is a set of fundamental operation symbols and ℕ is the set of nonnegative integers. We assume that |F|≥2 and 0 ∉ (F). For a term φ of type τ we denote by F(φ) the set of fundamental operation symbols from F occurring in φ. An identity φ ≉ ψ of type τ is called clone compatible if φ and ψ are the same variable or F(φ)=F(ψ)≠. For a variety V of type τ we denote by the variety of type τ defined by all identities φ ≉ ψ from Id(V) which are either clone compatible...
On the number of independent elements in finite abstract algebras having a binary operation
On the number of independent elements in finite abstract algebras with two binary symmetrical operations
On the methods of representation of some algebras
Exchange of independent sets in abstract algebras. II
On distributive n-lattices and n-quasilattices
Some remarks on sums of direct systems of algebras
On bounding congruences in some algebras having the lattice structure
On k-closure operators in graphs
On automorphism groups of relational systems and universal algebras
On the number of polynomials of a universal algebra, IV
Associative and idempotent algebras are at most ternary
On the arity of idempotent reducts of groups
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