Results 211 to 220 of about 2,076 (239)
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Affine Noetherian Algebras and Extensions of the Base Field
Bulletin of the London Mathematical Society, 1993This note settles, in the negative, two problems about affine Noetherian algebras \(S\) over a field \(k\): (1) Is \(S\) finitely presented? (2) Is \(S \otimes_ k K\) Noetherian for every field extension \(K/k\)? Specifically, it is shown that the following algebra \(S\) is a counterexample to both questions.
Resco, Richard, Small, L. W.
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Algebraic extensions of finite corank of hilbertian fields
Israel Journal of Mathematics, 1974We consider here a hilbertian fieldk and its Galois group (k s/k). For a natural numbere we prove that almost all (σ) ∈ (ks/k)e have the following properties.
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Algebraic extensions of the field of rational functions, II
Communications on Pure and Applied Mathematics, 1972In this paper we prove the following theorem: If \(G\) is any finite group and \(k\) any algebraic function field of one independent variable whose field of constants is the complex numbers, then there exists a Galois extension \(K\) of \(k\) whose Galois group \(G(K/k)\) is isomorphic to \(G\).
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Algebraic Extensions of Fields.
The American Mathematical Monthly, 1968Neil Grabois, Paul J. McCarthy
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Intuitionistic Fuzzy Algebraic Field Extensions
Lecture Notes in Networks and Systems, 2023Melliani S, Elomari M, M Elomari
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On the Complexity of Linear Algebra Operations over Algebraic Extension Fields
2023Amir Hashemi, Daniel Lichtblau
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