𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boolean algebras R-generated by MV-effect algebras

✍ Scribed by Gejza Jenča


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
213 KB
Volume
145
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis


We prove that every MV-e ect algebra M is, as an e ect algebra, a homomorphic image of its R-generated Boolean algebra. We characterize central elements of M in terms of the constructed homomorphism.


📜 SIMILAR VOLUMES


On well-generated Boolean algebras
✍ Robert Bonnet; Matatyahu Rubin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 390 KB

A Boolean algebra B that has a well-founded sublattice L which generates B is called a well-generated (WG) Boolean algebra. If in addition, L is generated by a complete set of representatives for B (see Deÿnition 1:1), then B is said to be canonically well-generated (CWG). Every WG Boolean algebra

Representations of MV-algebras by sheave
✍ Anna R. Ferraioli; Ada Lettieri 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 198 KB

In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of MV-algebras devised by Filipoiu and Georgescu ([18]) and by Dubuc and Poveda ([16]). Following Davey app