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Minimally generated Boolean algebras

✍ Scribed by Sabine Koppelberg

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
683 KB
Volume
5
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

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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 DeΓΏnition 1:1), then B is said to be canonically well-generated (CWG). Every WG Boolean algebra

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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.