Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Cohomology, maximal ideals, and point evaluations
HTML articles powered by AMS MathViewer

by Alexander Nagel PDF
Proc. Amer. Math. Soc. 42 (1974), 47-50 Request permission

Abstract:

We consider algebras A of continuous complex valued functions, which are given as the set of global sections of a sheaf $\mathcal {S}$ on a topological space X. Under the hypothesis that all the higher cohomology groups of the sheaf are zero, we investigate the relationship between ideals in A, kernels of algebra homomorphisms of A into the complex numbers C, and sets of functions vanishing at a point of X. As applications, we obtain some simple proofs of theorems about ideals in certain algebras of holomorphic functions.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32E25, 46J10
  • Retrieve articles in all journals with MSC: 32E25, 46J10
Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 47-50
  • MSC: Primary 32E25; Secondary 46J10
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0328122-9
  • MathSciNet review: 0328122