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
β Scribed by L. P. Belluce; Antonio Di Nola; Salvatore Sessa
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 909 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
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 Subject Classification: 03B50, 06D99.
π SIMILAR VOLUMES
## Abstract In this paper we study the category of hyper MVβalgebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MVβalgebra by a set. We use this to show that in the category of hyper MVβalgebras the monomorph
It is shown that in a linearly ordered MV-algebra A, the implication is unique if and only if the identity function is the unique De Morgan automorphism on A. Modulo categorical equivalence, our uniqueness criterion recalls Ohkuma's rigidness condition for totally ordered abelian groups. We also sho