A sheaf-theoretic duality theory for cylindric algebras-Reference-Cited by-同舟云学术

A sheaf-theoretic duality theory for cylindric algebras

Published:1972 Issue:0 Volume:169 Page:75-87
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Comer Stephen D.

Abstract

Stone’s duality between Boolean algebras and Boolean spaces is extended to a dual equivalence between the category of all α \alpha -dimensional cylindric algebras and a certain category of sheaves of such algebras. The dual spaces of important types of algebras are characterized and applications are given to the study of direct and subdirect decompositions of cylindric algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-169-00/S0002-9947-1972-0307908-3/S0002-9947-1972-0307908-3.pdf

Reference6 articles.

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

2. On some fundamental problems concerning isomorphism of Boolean algebras;Hanf, William;Math. Scand.,1957

3. L. Henkin, D. Monk and A. Tarski, Cylindric algebras, I, North-Holland, Amsterdam, 1971.

4. Cylindric algebras;Henkin, Leon,1961

5. On isomorphism types of groups and other algebraic systems;Jónsson, Bjarni;Math. Scand.,1957

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Epimorphisms are not surjective, even in simple algebras;Logic Journal of IGPL;2010-11-26

2. Algebraic Logic, Where Does it Stand Today?;Bulletin of Symbolic Logic;2005-12

3. Algebraic Logic;Handbook of Philosophical Logic;2001

4. Rings and sheaves;Journal of Mathematical Sciences;1995-03

5. Bjarni J�nsson's contributions in algebra;Algebra Universalis;1994-09