Distributed families of varieties of algebras
Exchange of independent sets in abstract algebras (III)
Addition and correction to the paper "Diagonal algebras"
On connections between the decomposition of an algebra into sums of direct systems of subalgebras
Diagonal algebras
On equational classes of abstract algebras defined by regular equations
A representation theorem for idempotent medial algebras
On bases with respect to a closure operator with the exchange property
On a method of construction of abstract algebras
On distributive quad-lattices
On functionally uniform symmetrical algebras
Minimal generics from subvarieties of the clone extension of the variety of Boolean algebras
Let τ be a type of algebras without nullary fundamental operation symbols. We call an identity φ ≈ ψ of type τ clone compatible if φ and ψ are the same variable or the sets of fundamental operation symbols in φ and ψ are nonempty and identical. For a variety of type τ we denote by the variety of type τ defined by all clone compatible identities from Id(). We call the clone extension of . In this paper we describe algebras and minimal generics of all subvarieties of , where is the variety of...
The lattice of subvarieties of the biregularization of the variety of Boolean algebras
Let τ: F → N be a type of algebras, where F is a set of fundamental operation symbols and N is the set of all positive integers. An identity φ ≈ ψ is called biregular if it has the same variables in each of it sides and it has the same fundamental operation symbols in each of it sides. For a variety V of type τ we denote by the biregularization of V, i.e. the variety of type τ defined by all biregular identities from Id(V). Let B be the variety of Boolean algebras of type , where and . In...
On some regularities of graphs. I.
Biregular and uniform identities of algebras
Subdirectly irreducible groupoids in some varieties
-compatible identities and their applications to classical algebras
Clone compatible identities and clone extensions of algebras
T-independence in distributive lattices
On a generalization of the matroid
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