Abstract
The \(\mod 2\) universal Steenrod algebra \(Q\) is a non-locally finite homogeneous 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 \(R_k\)’s. In this paper we see how far the several \(R_k\)’s are to be Koszul by chasing in their cohomology non-trivial cocycles of minimal homological degree.
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This research has been carried out as part of “Programma STAR”, financially supported by UniNA and Compagnia di San Paolo.
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Communicated by Salvatore Rionero.
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Brunetti, M., Lomonaco, L.A. Chasing non-diagonal cycles in a certain system of algebras of operations. Ricerche mat. 63 (Suppl 1), 57–68 (2014). https://doi.org/10.1007/s11587-014-0190-z
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DOI: https://doi.org/10.1007/s11587-014-0190-z