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State BL-algebras

✍ Scribed by Lavinia Corina Ciungu; Anatolij Dvurečenskij; Marek Hyčko


Publisher
Springer
Year
2010
Tongue
English
Weight
383 KB
Volume
15
Category
Article
ISSN
1432-7643

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📜 SIMILAR VOLUMES


Varieties of BL-algebras
✍ A. Di Nola; F. Esteva; L. Godo; F. Montagna 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 267 KB
Hyper-Archimedean BL-algebras are MV-alg
✍ Esko Turunen 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract Generalizations of Boolean elements of a BL‐algebra __L__ are studied. By utilizing the MV‐center MV(__L__) of __L__, it is reproved that an element __x__ ∈ __L__ is Boolean iff __x__ ∨ __x__ \* = **1**. __L__ is called semi‐Boolean if for all __x__ ∈ __L__, __x__ \* is Boolean. An MV‐a