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
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✦ 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
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
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