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Products in almost f -algebras

Karim Boulabiar (2000)

Commentationes Mathematicae Universitatis Carolinae

Let A be a uniformly complete almost f -algebra and a natural number p { 3 , 4 , } . Then Π p ( A ) = { a 1 a p ; a k A , k = 1 , , p } is a uniformly complete semiprime f -algebra under the ordering and multiplication inherited from A with Σ p ( A ) = { a p ; 0 a A } as positive cone.

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