Different Choices of Coset Representatives
Department of Mathematics, King Abdulaziz University, P.O. Box 80257, Jeddah 21589 (Kingdom of Saudi Arabia).
DOI : http://dx.doi.org/10.13005/msri/040213
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In this paper, we show that for the algebras A and A, the map q: A ? A defined by qA(ds ?u) = dsg( a )?g ( a )-1u , where (ds ?u) ? A and a = {ds ?u}, is a morphism in the category C. Moreover, it is shown that the morphism q : A ? A is an algebra map.
KEYWORDS:Finite group factorization; Algebras; Bicrossproduct Algebras
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Article Publishing History
Received on: 28 Nov 2007
Accepted on: 23 Dec 2007
Accepted on: 23 Dec 2007
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