Articles with "algebra functor" as a keyword



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A Natural Extension of the Universal Enveloping Algebra Functor to Crossed Modules of Leibniz Algebras

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Published in 2017 at "Applied Categorical Structures"

DOI: 10.1007/s10485-016-9472-9

Abstract: The universal enveloping algebra functor between Leibniz and associative algebras defined by Loday and Pirashvili is extended to crossed modules. We prove that the universal enveloping crossed module of algebras of a crossed module of… read more here.

Keywords: enveloping algebra; crossed module; universal enveloping; crossed modules ... See more keywords