Let R ⊂ S be an extension of integral domains with identity such that R is not a field and R is integrally closed in S. We determine necessary and sufficient conditions so that the set of intermediate rings [R, S] between R and S is a finite boolean algebra. Several cases are treated, specially when S is the quotient field of R or when R is a Krull domain.
Diğer ID | JA77SA95UC |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2010 |
Yayımlandığı Sayı | Yıl 2010 Cilt: 8 Sayı: 8 |