On a multiplicative structure of BP-cohomology operation algebra (Q808479)
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scientific article; zbMATH DE number 4211067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a multiplicative structure of BP-cohomology operation algebra |
scientific article; zbMATH DE number 4211067 |
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On a multiplicative structure of BP-cohomology operation algebra (English)
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1991
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The author studies the multiplicative structure of the ring \(BP^*BP\) of cohomology operations for Brown-Peterson cohomology theory BP at a fixed prime p. His main result is a complicated formula for the composition of two Quillen elements \(r_ E\), analogous to the product formula for the Steenrod algebra given by \textit{J. Milnor} [Ann. Math., II. Ser. 67, 150- 171 (1958; Zbl 0080.380)]. He uses this formula to examine the algebraic structure of the subalgebra of \(BP^*BP\) generated over \(BP^*\) by the Quillen elements.
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multiplicative structure
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Brown-Peterson cohomology
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0.9027715
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0.8963545
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0.89323074
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0.88982207
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0.88756436
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