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Cotensor Products of Modules
L. Abrams and C. Weibel
Transactions of the American Mathematical Society
Vol. 354, No. 6 (Jun., 2002), pp. 2173-2185
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2693882
Page Count: 13
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Let C be a coalgebra over a field k and A its dual algebra. The category of C-comodules is equivalent to a category of A-modules. We use this to interpret the cotensor product M□N of two comodules in terms of the appropriate Hochschild cohomology of the A-bimodule M ⊗ N, when A is finite-dimensional, profinite, graded or differential-graded. The main applications are to Galois cohomology, comodules over the Steenrod algebra, and the homology of induced fibrations.
Transactions of the American Mathematical Society © 2002 American Mathematical Society