DGAs with polynomial homology

In this work, we study the classification of differential graded algebras over Z (DGAs) whose homology is Fp[x], i.e. polynomial algebra Fp on a single generator. This problem was left open in work Dwyer, Greenlees and Iyengar. For |y2p?2|=2p?2, show that there unique non-formal DGA with Fp[y2p?2] 2p?2 Postnikov section. Among result, provides first example Fp[x]. By duality, also shows an exterior generator degree ?(2p?1). Considering ring spectra corresponding to these DGAs, every E2 Fp[x] (with no restrictions |x|) topologically equivalent formal they are formal. follows by theorem Hopkins Mahowald.