NDLI: J-dendriform algebras

Content Provider	Springer Nature Link
Author	Hou, Dongping Bai, Chengming
Copyright Year	2011
Abstract	In this paper, we introduce a notion of J-dendriform algebra with two operations as a Jordan algebraic analogue of a dendriform algebra such that the anticommutator of the sum of the two operations is a Jordan algebra. A dendriform algebra is a J-dendriform algebra. Moreover, J-dendriform algebras fit into a commutative diagram which extends the relationships among associative, Lie, and Jordan algebras. Their relations with some structures such as Rota-Baxter operators, classical Yang-Baxter equation, and bilinear forms are given.
Starting Page	29
Ending Page	49
Page Count	21
File Format	PDF
ISSN	16733452
Journal	Frontiers of Mathematics in China
Volume Number	7
Issue Number	1
e-ISSN	16733576
Language	English
Publisher	SP Higher Education Press
Publisher Date	2011-11-28
Publisher Institution	Chinese Universities
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	Jordan algebra dendriform algebra $\mathcal{O}$ -operator classical Yang-Baxter equation (CYBE) Rings with involution; Lie, Jordan and other nonassociative structures Jordan structures associated with other structures Finite-dimensional structures Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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J-dendriform algebras