Subassociative algebras.

Cedilnik, A.

Displaying similar documents to “Subassociative algebras.”

Classification of all associative mono- $n$ -ary algebras with 2 elements.

Andres, Stephan Dominique (2009)

International Journal of Mathematics and Mathematical Sciences

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Folding theory applied to BL-algebras

Young Jun, Jung Ko (2004)

Open Mathematics

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The notion of n-fold grisly deductive systems is introduced. Some conditions for a deductive system to be an n-fold grisly deductive system are provided. Extension property for n-fold grisly deductive system is established.

Embedding of dendriform algebras into Rota-Baxter algebras

Vsevolod Gubarev, Pavel Kolesnikov (2013)

Open Mathematics

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Following a recent work [Bai C., Bellier O., Guo L., Ni X., Splitting of operations, Manin products, and Rota-Baxter operators, Int. Math. Res. Not. IMRN (in press), DOI: 10.1093/imrn/rnr266] we define what is a dendriform dior trialgebra corresponding to an arbitrary variety Var of binary algebras (associative, commutative, Poisson, etc.). We call such algebras di- or tri-Var-dendriform algebras, respectively. We prove in general that the operad governing the variety of di- or tri-Var-dendriform...

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,...