Classification of all associative mono--ary algebras with 2 elements.
Andres, Stephan Dominique (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On some operator defined on equational classes of algebras”
Classification of all associative mono--ary algebras with 2 elements.
Subassociative algebras.
Cedilnik, A. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Super-De Morgan functions and free De Morgan quasilattices
Yuri Movsisyan, Vahagn Aslanyan (2014)
Open Mathematics
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A De Morgan quasilattice is an algebra satisfying hyperidentities of the variety of De Morgan algebras (lattices). In this paper we give a functional representation of the free n-generated De Morgan quasilattice with two binary and one unary operations. Namely, we define the concept of super-De Morgan function and prove that the free De Morgan quasilattice with two binary and one unary operations on nfree generators is isomorphic to the De Morgan quasilattice of super-De Morgan functions...
On some constructions of algebraic objects
Miroslav Novotný (2006)
Czechoslovak Mathematical Journal
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Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type.
Uniqueness of improper operations
Ivan Žembery (1992)
Czechoslovak Mathematical Journal
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Commutator algebras arising from splicing operations
Sergei Sverchkov (2014)
Open Mathematics
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We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation,...