Abstract
The mod 2 universal Steenrod algebra Q is a non-locally finite homoge- neous quadratic algebra closely related to the ordinary mod 2 Steenrod algebra and the Lambda algebra. The algebra Q provides an example of a Koszul algebra which is a direct limit of a family of certain non-Koszul algebras Rk's. In this paper we see how far the several Rk's are to be Koszul by chasing in their cohomology non-trivial cocycles of minimal homological degree.
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