Results 251 to 260 of about 3,127 (285)
Some of the next articles are maybe not open access.
Fuzzy algebraic field extensions
Fuzzy Sets and Systems, 1992The concept of fuzzy algebraic field extensions is introduced. Conditions are determined for which a fuzzy algebraic field extension has unique maximal fuzzy intermediate fields which are fuzzy separable algebraic and fuzzy purely inseparable. The fuzzification of other basic properties of field extensions is examined.
John N Mordeson
exaly +2 more sources
A treatise on field extensions and algebraic extensions
AIP Conference ProceedingsB Mahaboob, Mahaboob B
exaly +2 more sources
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.
openaire +2 more sources
2017
Recall that a field extension \(\mathbb{k} \subset \mathbb{F}\) is said to be finite of degree d if \(\mathbb{F}\) has dimension d < ∞ as a vector space over \(\mathbb{k}\). We write \(\deg \mathbb{F}/\mathbb{k} = d\) in this case.
openaire +1 more source
Recall that a field extension \(\mathbb{k} \subset \mathbb{F}\) is said to be finite of degree d if \(\mathbb{F}\) has dimension d < ∞ as a vector space over \(\mathbb{k}\). We write \(\deg \mathbb{F}/\mathbb{k} = d\) in this case.
openaire +1 more source
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.
openaire +2 more sources
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 \(G\).
openaire +2 more sources
Intuitionistic Fuzzy Algebraic Field Extensions
Lecture Notes in Networks and Systems, 2023M Elomari, Melliani S, Elomari M
exaly
Algebraic Extensions of Fields.
The American Mathematical Monthly, 1968Neil Grabois, Paul J. McCarthy
openaire +1 more source