Vol. 55, No. 2, 1974

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Extensions of sheaves of commutative algebras by nontrivial kernels

Donovan Harold Van Osdol

Vol. 55 (1974), No. 2, 531–541
Abstract

Let A, M, and R be sheaves of commutative algebras on a topological space. Given a surjection from R to M there is associated a cohomology class in H2(R,ZA), the second bicohomology group of R with coefficients in the center of A. This cohomology class is zero if and only if the original surjection arises from an extension of R by A.

Mathematical Subject Classification
Primary: 18H20
Milestones
Received: 16 January 1973
Published: 1 December 1974
Authors
Donovan Harold Van Osdol