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Non-Abelian Cohomology with Coefficients in Crossed Bimodules
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H. Inassaridze
Published/Copyright:
February 23, 2010
Abstract
When the coefficients are crossed bimodules, Guin's non-abelian cohomology [Guin, C. R. Acad. Sci. Paris 301: 337–340, 1985], [Guin, J. Pure Appl. Algebra 50: 109–137, 1988] is extended in dimensions 1 and 2, and a nine-term exact cohomology sequence is obtained.
Received: 1995-06-02
Published Online: 2010-02-23
Published in Print: 1997-December
© 1997 Plenum Publishing Corporation
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- Non-Abelian Cohomology with Coefficients in Crossed Bimodules
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Keywords for this article
Crossed bimodule;
compactibility condition;
free cotriple resolution
Articles in the same Issue
- Nonconvex Differential Inclusions with Nonlinear Monotone Boundary Conditions
- Non-Abelian Cohomology with Coefficients in Crossed Bimodules
- On the Number of Representations of Positive Integers by a Direct Sum of Binary Quadratic Forms with Discriminant –23
- Internal Categories in a Left Exact Cosimplicial Category
- On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments
- On the Bifurcation of Flows of a Heat-Conducting Fluid Between Two Rotating Permeable Cylinders
- Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue
- Boundary Properties of First-Order Partial Derivatives of the Poisson Integral for the Half-Space