𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalizations of Boolean products for lattice-ordered algebras

✍ Scribed by P. Jipsen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
494 KB
Volume
161
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Boolean Products of BL-Algebras
Boolean Products of BL-Algebras
✍ Antonio Di Nola; George Georgescu; LaurenΕ£iu Leuştean πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 188 KB

The representation of algebras by Boolean products is a very general problem in universal algebra. In this paper we shall characterize the Boolean products of BL-chains, the weak Boolean products of local BL-algebras, and the weak Boolean products of perfect BL-algebras.

Boolean products of R0-algebras
Boolean products of R0-algebras
✍ Xiangnan Zhou; Qingguo Li πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 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.