### 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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Andres, Stephan Dominique (2009)

International Journal of Mathematics and Mathematical Sciences

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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.

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...

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,...

Roh, Eun Hwan (2004)

International Journal of Mathematics and Mathematical Sciences

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Katarzyna Hałkowska (1976)

Archivum Mathematicum

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Neeraj Srivastava, S. Bhattacharya, S. N. Lal (2010)

Publications de l'Institut Mathématique

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Sidi, Avram (2008)

Applied Mathematics E-Notes [electronic only]

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Elabbasy, E.M., El-Metwally, H., Elsayed, E.M. (2005)

International Journal of Mathematics and Mathematical Sciences

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Li, Dongsheng, Li, Pingping, Li, Xianyi (2008)

Advances in Difference Equations [electronic only]

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Karakostas, George L., Stević, Stevo (2004)

International Journal of Mathematics and Mathematical Sciences

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