Dialgebras (Q2892808)
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scientific article; zbMATH DE number 6049329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dialgebras |
scientific article; zbMATH DE number 6049329 |
Statements
25 June 2012
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dialgebra
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Leibniz algebra
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associative algebra
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Lie algebra
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dendriform algebra
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dimonoid
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digroup
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duplex
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Dialgebras (English)
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The author describes a new type of algebras with two associative operations -- dialgebras. The connection between dialgebras and Leibniz algebras similar to the connection between associative algebras and Lie algebras is established. Concepts such as dimonoid, digroup, duplex are studied. The cohomology theory for dialgebras based on the set of binary trees is developed. A different type of algebras -- dendriform algebras, in particular the free dendriform algebra, is described.
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