๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Elementary Classes of Direct and Boolean Products

โœ Scribed by Daniel Gluschankof

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
778 KB
Volume
40
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

We characterize the elementary classes generated from a distinguished subclass closing by taking direct products and elementary equivalence. In the second part we give the same characterization in terms of atomic Boolean products. In the last part, we study the cases when the class of Boolean products is elementary but is not given by a discriminator.

Mathematics Subject Classification: 03C30, 08C10, 03C05, 03C60.

๐Ÿ“œ SIMILAR VOLUMES

Boolean products of R0-algebras
Boolean products of R0-algebras
โœ Xiangnan Zhou; Qingguo Li ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 192 KB

In this paper, the (weak) Boolean representation of R0-algebras are investigated. In particular, we show that directly indecomposable R0-algebras are equivalent to local R0-algebras and any nontrivial R0-algebra is representable as a weak Boolean product of local R0-algebras.