Ahmed Ayache

10462

WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA

WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA

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.
Keywords:

Boolean algebra, normal pair, minimal overring maximal chain,

PDF
International Electronic Journal of Algebra-Cover
  • ISSN: 1306-6048
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2007
  • Yayıncı: Abdullah HARMANCI
Arşiv
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