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Sub-effect algebras and Boolean sub-effect algebras

✍ Scribed by Z. Riečanová

Book ID
106169778
Publisher
Springer
Year
2001
Tongue
English
Weight
78 KB
Volume
5
Category
Article
ISSN
1432-7643

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📜 SIMILAR VOLUMES

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✍ Gejza Jenča 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 213 KB

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.

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## S(z A y ) z S(A), by (c) * S(z) A S(Y) 2 S(A) e S(x) 2 S(A) and S(y) 2 S(A) e C ( s ) s C ( A ) 'and C ( y ) E C ( A ) , by (c) o x € C ( A ) and Y E C ( A ) . Now every ultrafilter is consistent and closed with respect to C, since if U is an ultrafilter and C ( U ) = X , then C({,uu,, . . ., ,