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We study P-Hopf algebras with one coassociative cooperation over different operads P. For example, we consider the Loday-Ronco dendriform Hopf algebra and its isomorphisms with the noncommutative plan...
Yang-Baxter operators from algebra structures and Lie superalgebras
Yang-Baxter operators algebra structures Lie superalgebras
2010/11/29
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra struc-tures. In the last section, we present enhanced versions of Theo...
On Locally pre-C*-Algebra Structures in Locally m-Convex H*-Algebras
Locally pre- C*-algebra locally m-convex H*-algebra Q-algebra positive semi-definite inner product
2010/3/1
We endow any locally m-convex H*-algebra \left( E,t \right) with a locally pre-C*-topology weaker than t. Examples and applications are provided.