Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2692

 Title: Semi-Symmetric Algebras: General Constructions. Part II Authors: Iliev, Valentin Vankov Keywords: Semi-Symmetric PowerSemi-Symmetric AlgebraCoalgebra StructureInner Product Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 35, No 1, (2010), 39p-66p Abstract: In [3] we present the construction of the semi-symmetric algebra [χ](E) of a module E over a commutative ring K with unit, which generalizes the tensor algebra T(E), the symmetric algebra S(E), and the exterior algebra ∧(E), deduce some of its functorial properties, and prove a classification theorem. In the present paper we continue the study of the semi-symmetric algebra and discuss its graded dual, the corresponding canonical bilinear form, its coalgebra structure, as well as left and right inner products. Here we present a unified treatment of these topics whose exposition in [2, A.III] is made simultaneously for the above three particular (and, without a shadow of doubt - most important) cases. Description: 2000 Mathematics Subject Classification: 15A69, 15A78. URI: http://hdl.handle.net/10525/2692 ISSN: 1310-6600 Appears in Collections: Volume 36, Number 1

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