Commutativity conditions for truncated Brown-Peterson spectra of height   2
  An algebraic criterion, in terms of closure under power operations, is determined for the existence and uniqueness of generalized trun- cated Brown-Peterson spectra of height 2 as E_\infty-ring spectra. The criterion is checked for an example at the prime 2 derived from the universal elliptic curve equipped with a level \Gamma_1(3)-structure. 
Tyler Lawson, Niko Naumann
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