A lower bound for the number of intermediary rings
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Publication:4236939
DOI10.1080/00927879908826495zbMath0972.13008OpenAlexW2058873318MaRDI QIDQ4236939
Publication date: 7 November 2001
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879908826495
Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02)
Related Items (25)
Some finiteness conditions on the set of overrings of an integral domain ⋮ A special chain theorem in the set of intermediate rings ⋮ Counting intermediate rings in normal pairs ⋮ Characterizing the ring extensions that satisfy FIP or FCP ⋮ Numerical characterizations of some integral domains ⋮ The number of intermediate rings in FIP extension of integral domains ⋮ WHEN IS THE INTEGRAL CLOSURE COMPARABLE TO ALL INTERMEDIATE RINGS ⋮ Δ-Extension of rings and invariance properties of ring extension under group action ⋮ Intermediary rings in normal pairs ⋮ FROM TOPOLOGIES OF A SET TO SUBRINGS OF ITS POWER SET ⋮ An algorithm for computing the number of intermediary rings in normal pairs ⋮ On λ-extensions of commutative rings ⋮ MAXIMAL NON-PRÜFER AND MAXIMAL NON-INTEGRALLY CLOSED SUBRINGS OF A FIELD ⋮ The set of indeterminate rings of a normal pair as a partially ordered set ⋮ Some finiteness chain conditions on the set of intermediate rings ⋮ On a Field-Theoretic Invariant for Extensions of Commutative Rings ⋮ On the set of \(t\)-linked overrings of an integral domain ⋮ Ring extensions with some finiteness conditions on the set of intermediate rings ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE ⋮ Finite maximal chains of commutative rings ⋮ Transfer Results for the FIP and FCP Properties of Ring Extensions ⋮ The Set of Intermediate Rings as a Boolean Algebra ⋮ A Constructive Study About the Set of Intermediate Rings ⋮ FINITELY VALUATIVE DOMAINS ⋮ The number of overrings of an integrally closed domain
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