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Dialgebras
Dialgebras
2015/3/25
There is a notion of non-commutative Lie algebra called "Leibniz algebra", which is characterized by the condition: left bracketing is a derivation. The purpose of this article is to introduce and stu...
Associative Dialgebras from a structural viewpoint
Associative Dialgebras structural viewpoint
2011/2/25
In this note we study associative dialgebras proving that the most interesting such structures arise precisely when the algebra is not semiprime.
In this paper, we study the class of Jordan dialgebras. We develop an approach for reducing problems on dialgebras to the case of ordinary algebras. It is shown that straightforward generalizations of...