Multiplicative Structures on Moore spectra

Abstract

In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure.