The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings
β Scribed by Igor Klep; Marcus Tressl
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 321 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1386-923X
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π SIMILAR VOLUMES
## Abstract In this paper we show that the prime ideal space of an MVβalgebra is the disjoint union of prime ideal spaces of suitable local MVβalgebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well. Mathematics
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