Subassociative algebras.
Cedilnik, A. (1997)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Cedilnik, A. (1997)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Vsevolod Gubarev, Pavel Kolesnikov (2013)
Open Mathematics
Similarity:
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
Similarity:
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,...
Katarzyna Hałkowska (1976)
Archivum Mathematicum
Similarity:
Roh, Eun Hwan (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
H. Skala (1973)
Fundamenta Mathematicae
Similarity:
Vsevolod Yu. Gubarev, Pavel S. Kolesnikov (2014)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
This is an extended version of a talk presented by the second author on the Third Mile High Conference on Nonassociative Mathematics (August 2013, Denver, CO). The purpose of this paper is twofold. First, we would like to review the technique developed in a series of papers for various classes of di-algebras and show how the same ideas work for tri-algebras. Second, we present a general approach to the definition of pre- and post-algebras which turns out to be equivalent to the construction...
Yuri Movsisyan, Vahagn Aslanyan (2014)
Open Mathematics
Similarity:
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...
So, Keum Sook (2011)
International Journal of Mathematics and Mathematical Sciences
Similarity:
J. Płonka (1968)
Fundamenta Mathematicae
Similarity: