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WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA

Year 2010, Volume: 8 Issue: 8, 129 - 139, 01.12.2010

Ahmed Ayache

Abstract

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

Year 2010, Volume: 8 Issue: 8, 129 - 139, 01.12.2010

Ahmed Ayache

Abstract

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Details

Other ID JA77SA95UC
Journal Section Articles
Authors

Ahmed Ayache This is me

Publication Date December 1, 2010
Published in Issue Year 2010 Volume: 8 Issue: 8

Cite

APA Ayache, A. (2010). WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. International Electronic Journal of Algebra, 8(8), 129-139.
AMA Ayache A. WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. IEJA. December 2010;8(8):129-139.
Chicago Ayache, Ahmed. “WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA”. International Electronic Journal of Algebra 8, no. 8 (December 2010): 129-39.
EndNote Ayache A (December 1, 2010) WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. International Electronic Journal of Algebra 8 8 129–139.
IEEE A. Ayache, “WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA”, IEJA, vol. 8, no. 8, pp. 129–139, 2010.
ISNAD Ayache, Ahmed. “WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA”. International Electronic Journal of Algebra 8/8 (December 2010), 129-139.
JAMA Ayache A. WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. IEJA. 2010;8:129–139.
MLA Ayache, Ahmed. “WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA”. International Electronic Journal of Algebra, vol. 8, no. 8, 2010, pp. 129-3.
Vancouver Ayache A. WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. IEJA. 2010;8(8):129-3.