✦ LIBER ✦
Integral Semihereditary Orders inside a Bézout Maximal Order
✍ Scribed by John S Kauta
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 272 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
In this paper we show that over a commutative valuation ring V, a semiheredi-Ž . tary V-order H in a finite-dimensional simple Artinian ring is a finite intersection Ž . of Bezout maximal V-orders iff either H is Bezout or H is contained in a Bezout ´´Ž . V-order and J V is a principal ideal of V. ᮊ 1997 Academic Press ´V -order, hence the justification for our approach. We prove that such an order is an intersection of Bezout V-orders if and only if it is Bezout or ´Ž .