BulDML at Institute of Mathematics and Informatics >
IMI Periodicals >
Serdica Mathematical Journal >
2010 >
Volume 36, Number 1 >

Please use this identifier to cite or link to this item:

Title: Semi-Symmetric Algebras: General Constructions. Part II
Authors: Iliev, Valentin Vankov
Keywords: Semi-Symmetric Power
Semi-Symmetric Algebra
Coalgebra Structure
Inner 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.
ISSN: 1310-6600
Appears in Collections:Volume 36, Number 1

Files in This Item:

File Description SizeFormat
2010-039-066.pdf545.49 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0!   Creative Commons License