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Prime spectra of non-commutative generalizations of MV-algebras

✍ Scribed by Jiří Rachunek


Publisher
Springer
Year
2002
Tongue
English
Weight
279 KB
Volume
48
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES


The Prime Spectrum of Commutative Differ
✍ J.J. Moloney 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 187 KB

For a commutative differential algebra., , if \(p_{1}\) and \(p_{2}\) are prime ideals with \(p_{1} \subset p_{2}, p_{1} \neq p_{2}\), and \(D\left(p_{1}\right)\) not contained in \(p_{2}\), then there exists a prime ideal \(p_{3} \subset p_{2}\), with \(p_{3} \not p_{1}\) and \(p_{1} \not p_{3}\) a

The Prime Spectrum of an MV-Algebra
✍ L. P. Belluce; Antonio Di Nola; Salvatore Sessa 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 909 KB

## Abstract In this paper we show that the prime ideal space of an MV‐algebra is the disjoint union of prime ideal spaces of suitable local MV‐algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well. Mathematics