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
✦ LIBER ✦
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
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## 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
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