Let 931 be the maximal ideal space of the algebra H infinity of bounded holomorphic functions on the unit disk D subset of C. The classical results of K. Hoffman describe complex-analytic maps from a connected complex-analytic space X to 931. In particular, the image of every such map ...
Since every maximal ideal m⊂A is open for the J-adic topology, we have that Jm=0, for all maximal ideal m⊂A, so J=0. □ 4.12 As a consequence of Corollary 4.10 it holds that: • If f:X→ is an unramified morphism in NFS then f−1(y) is a usual scheme for all ...
Employing a diagonal argument, Gödel's incompleteness theorems were the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability theorem on the formal undefinability of truth, Church's proof that Hilbert'sEntscheidungsproblemis un...
In [2] Eisenbud and Evans gave an important generalization of Krull's Principal Ideal Theorem. However, their proof, using maximal Cohen-Macaulay modules, ... W Bruns - 《Proceedings of the American Mathematical Society》 被引量: 75发表: 1981年 On the noncommutative geometry of square superpot...
It is easy to check that the last sum does not exceed 2M‖F‖L1(T), where M denotes the norm of the maximal operator F↦F⁎ on H1. Thus, inequality (33) holds with the constant 6c5c6M and formula (32) gives us the atomic decomposition of the trace f provided F∈Kθ2∩zH2...
Isomorphism theorems and fuzzy k-ideals of k-smearing We design and study the fuzzy maximal k-ideal of a k-semiring.Also we characterize the quotient k-semiring R/A of a k-semiring R bya fuzzy maximal k-ideal ... BK Chang - 《Fuzzy Sets & Systems》 被引量: 25发表: 2000年 ...
In 1957, Andrew Gleason conjectured that if A is a uniform algebra on its maximal ideal space X and every point of X is a one-point Gleason part for A, then A must contain all continuous functions on X. However, in 1968, Brian Cole produced a counterexample to disprove Gleason's conje...
ON UNIFORM SUBALGEBRAS OF L ON THE UNIT CIRCLE GENERATED BY ALMOST PERIODIC FUNCTIONS Analogs of almost periodic functions for the unit circle are introduced. Certain uniform algebras generated by such functions are studied, the corona theorems for them are proved, and their maximal ideal spaces ar...
Let $x_1,\\ldots, x_n$ be elements in $m$ and $\\mathfrak{U}$ the ideal generated by the maximal minors of $(\\alpha_{ij})$ and by $\\Sigma_j\\alpha_{ij}x_j (i = 1,\\ldots, n - 1)$. If depth $\\mathfrak{U} = n$, then $P^{R/\\mathfrak{U}}. ((1 ...
whether imposed directly or arrived at indirectly as a market outcome under maximal inequality. Sure, we have no “scientific” basis to prefer any Pareto-efficient outcome over any other, including dictatorship. But we also have no basis to claim all Pareto-efficient distributions are equivalent....