FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 4, PAGES 197-

**Algebraic geometry over Boolean algebras in the language with
constants**

A. N. Shevlyakov

Abstract

View as HTML
View as gif image

We study equations over Boolean algebras with distinguished elements.
We prove criteria for when a Boolean algebra is equationally
Noetherian, weakly equationally Noetherian, $$**q**_{w}-compact, or
$$**u**_{w}-compact.
Also we solve the problem of geometric equivalence in the class of
Boolean algebras with distinguished elements.

Location: http://mech.math.msu.su/~fpm/eng/k13/k134/k13414h.htm

Last modified: May 13, 2014