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Cyclic elements and subalgebras of GMV-algebras

✍ Scribed by Anatolij Dvurečenskij

Publisher
Springer
Year
2009
Tongue
English
Weight
335 KB
Volume
14
Category
Article
ISSN
1432-7643

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📜 SIMILAR VOLUMES

Cyclic Elements in MV-Algebras and Post
Cyclic Elements in MV-Algebras and Post Algebras
✍ Antoni Torrens 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 649 KB

## Abstract In this paper we characterize the MV‐algebras containing as subalgebras Post algebras of finitely many orders. For this we study cyclic elements in MV‐algebras which are the generators of the fundamental chain of the Post algebras. Mathematics Subject Classification: 03G20, 03G25, 06D2

Special subalgebras of Boolean algebras
Special subalgebras of Boolean algebras
✍ J. Donald Monk 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

We consider eight special kinds of subalgebras of Boolean algebras. In Section 1 we describe the relationships between these subalgebra notions. In succeeding sections we consider how the subalgebra notions behave with respect to the most common cardinal functions on Boolean algebras.