Different Choices of Coset Representatives

M.M. Al-Mosa Al-Shomrani

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

ABSTRACT:

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

Copy the following to cite this article: Al-Mosa Al-Shomrani M. M. Different Choices of Coset Representatives. Mat.Sci.Res.India;4(2)

Copy the following to cite this URL: Al-Mosa Al-Shomrani M. M. Different Choices of Coset Representatives. Mat.Sci.Res.India;4(2). Available from: http://www.materialsciencejournal.org/?p=1439

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