On a multiplicative structure of BP-cohomology operation algebra
type: Item
instance of: scholarly article
title: On a multiplicative structure of BP-cohomology operation algebra
zbMATH Open document ID: 0732.55004
author: Kouichi Inoue
published in: Journal of Mathematics of Kyoto University
publication date: 1991-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 55N22
zbMATH DE Number: 4211067
zbMATH Keywords: multiplicative structure
zbMATH Keywords: Brown-Peterson cohomology
reviewed by: Peter Landweber
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250519896
OpenAlex ID: W1570105674
DOI: 10.1215/KJM/1250519896
Recommended article: Q4700242
Recommended article: ON THE ALGEBRA OF OPERATIONS FOR HOPF COHOMOLOGY
Recommended article: Multiplicative structure in equivariant cohomology
Recommended article: On the composition of cohomological operations
Recommended article: Q4713563
Recommended article: On the structure of multiplier algebras
Recommended article: The coalgebra structure of the cohomology of multiplicative fibrations
Recommended article: Q5569373
Recommended article: On the cohomology of joins of operator algebras
Recommended article: Q3009738
description: scientific article; zbMATH DE number 4211067