Representation of universal algebras by sheaves-Reference-Cited by-同舟云学术

Representation of universal algebras by sheaves

Published:1974 Issue:1 Volume:45 Page:55-58
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Swamy U. Maddana

Abstract

It is proved that every (universal) algebra A A with distributive and permutable structure lattice is isomorphic with the algebra of all global sections with compact supports of a sheaf of homomorphic images of A A over a topological space. This completely generalises the corresponding result of Klaus Keimel for l l -rings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-045-01/S0002-9939-1974-0340154-3/S0002-9939-1974-0340154-3.pdf

Reference5 articles.

1. Representations by algebras of sections over Boolean spaces;Comer, Stephen D.;Pacific J. Math.,1971

2. The representation of lattice-ordered groups and rings by sections in sheaves;Keimel, Klaus,1971

3. Memoirs of the American Mathematical Society, No. 70;Pierce, R. S.,1967

4. A. F. Pixley, Clusters of algebras: Identities and structure lattices, Doctoral Dissertation, University of California, Berkeley, Calif., 1961.

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