Generalized free products

• Autorzy: J. D. Monk
• Języki publikacji: EN

Abstrakty

EN

A subalgebra B of the direct product $∏_{i∈ I}A_i$ of Boolean algebras is finitely closed if it contains along with any element f any other member of the product differing at most at finitely many places from f. Given such a B, let B* be the set of all members of B which are nonzero at each coordinate. The generalized free product corresponding to B is the subalgebra of the regular open algebra with the poset topology on B* generated by the natural basic open sets. Properties of this product are developed. The full regular open algebra is also treated.

Kategorie tematyczne

• 06E05: Structure theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 88
• Numer: 2
• Strony: 175-192

Daty

wydano

2001

Twórcy

autor

J. D. Monk

• Mathematics Department, University of Colorado, 395 UCB, Boulder, CO 80309, U.S.A.

Identyfikatory

DOI

10.4064/cm88-2-2