Nonsplit Ring Spectra and Products of ^-elements in the Stable Homotopy of Moore Spaces
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چکیده
In [4] and [6], S. Oka showed that Kr is a ring spectrum for r > 1 if r = 0 (mod p) it is called a split ring spectrum since Kr Λ Kr splits into four summands Kr, ΣKr, Σ r«+ιKr, Σ r«+2Kr. If r φ 0 (mod p), it is called a nonsplit ring spectrum since Krl\Kr splits only into three summands Kr, ΣLΛKr, Σ rq+2Kr, where L is the cofibre of 0i = jaie πrq_χS. In the nonsplit case, S. Oka showed in [4] that there is a direct summand decomposition
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تاریخ انتشار 1992