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The duality between algebras and coalgebras |
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| Authors: | Florin F Nichita Samuel D Schack |
| Institution: | (1) Present address: Department of Mathematics, University of Wales Swansea, SA2 8PP Singleton Park, Swansea, Wales, U.K.;(2) Institute of Mathematics of the Romanian Academy, Bucharest, Romania;(3) Present address: Department of Mathematics, University at Buffalo, The State University of New York, 14260-2900 Buffalo, NY, U.S.A. |
| Abstract: | In this paper we introduce the category of Yang-Baxter structures. We give examples of objects in this category. We construct
full and faithful embbedings from the categories of algebra and coalgebra structures to the category of Yang-Baxter structures.
Then we give a new duality theorem which extends the duality between finite dimensional algebras and coalgebras.
Sunto In questo articolo introduciamo la categoria delle strutture di Yang-Baxter. Diamo esempi di oggetti in questa categoria. Costruiamo immersioni piene e fedeli dalle categorie di algebre e coalgebre alla categoria di strutture di Yang-Baxter. Infine diamo un nuovo teorema di dualità che estende la dualità tra algebre e coalgebre di dimensione finita. |
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