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  A Characterization of symmetric and exterior algebras in characteristic zero
 
 
Title: A Characterization of symmetric and exterior algebras in characteristic zero
Author: Axelsson, Reynir
Jon, Magnusson
Appeared in: Communications in algebra
Paging: Volume 20 (1992) nr. 3 pages 631-638
Year: 1992
Contents: We prove that a commutative (resp. modified anticommutative) connected graded Hopf algebra over a commutative algebra over a field of characteristic zero is a symmetric algebra (resp. exterior algebra) if and only if it satisfies a certain “condistributive law”, expressed by a commutative diagram. Both results are obtained as a corollary of an analogous characterization of the symmetric superalgebra of a supermodule over a superring: The symmetric superalgebras over a superring R in characteristic zero are exactly the comodules over the symmetric superalgebra of R
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 2 of 22 found articles
 
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