Year 2010, Volume 8, Issue 8, Pages 129 - 139 2010-12-01

WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA

Ahmed Ayache [1]

64 209

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.
Boolean algebra, normal pair, minimal overring, maximal chain
Other ID JA77SA95UC
Journal Section Articles
Authors

Author: Ahmed Ayache

Bibtex @ { ieja266434, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Abdullah HARMANCI}, year = {2010}, volume = {8}, pages = {129 - 139}, doi = {}, title = {WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA}, key = {cite}, author = {Ayache, Ahmed} }
APA Ayache, A . (2010). WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA. International Electronic Journal of Algebra, 8 (8), 129-139. Retrieved from http://dergipark.org.tr/ieja/issue/25212/266434
MLA Ayache, A . "WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA". International Electronic Journal of Algebra 8 (2010): 129-139 <http://dergipark.org.tr/ieja/issue/25212/266434>
Chicago Ayache, A . "WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA". International Electronic Journal of Algebra 8 (2010): 129-139
RIS TY - JOUR T1 - WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA AU - Ahmed Ayache Y1 - 2010 PY - 2010 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 129 EP - 139 VL - 8 IS - 8 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2019 ER -
EndNote %0 International Electronic Journal of Algebra WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA %A Ahmed Ayache %T WHEN IS THE SET OF INTERMEDIATE RINGS A FINITE BOOLEAN ALGEBRA %D 2010 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 8 %N 8 %R %U
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.