Milnor K-theory
http://dbpedia.org/resource/Milnor_K-theory
In mathematics, Milnor K-theory is an algebraic invariant (denoted for a field ) defined by John Milnor as an attempt to study higher algebraic K-theory in the special case of fields. It was hoped this would help illuminate the structure for algebraic K-theory and give some insight about its relationships with other parts of mathematics, such as Galois cohomology and the Grothendieck–Witt ring of quadratic forms. Before Milnor K-theory was defined, there existed ad-hoc definitions for and . Fortunately, it can be shown Milnor K-theory is a part of algebraic K-theory, which in general is the easiest part to compute.
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La K-théorie de Milnor, théorie mathématique introduite par John Milnor, fait partie des premières tentatives pour définir les groupes de K-théorie algébrique d'ordre supérieur.
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대수적 K이론에서 밀너 환(Milnor環, 영어: Milnor ring)은 각 등급 성분이 대수적 K군으로 가는 자연스러운 군 준동형을 갖는 등급환이다. 그 0~2등급 성분은 대수적 K군과 동형이지만, 이는 고차 등급 성분에서 성립하지 않는다.
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ミルナーのK-理論(Milnor K-theory)は、高次代数的K-理論を定義する初期の試みであり、 Milnor により導入された。
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Inom matematiken är Milnors K-teori ett tidigt försök att definiera högre algebraisk K-teori, introducerat av.
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K-théorie de Milnor
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밀너 환
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Milnor K-theory
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ミルナーのK理論
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Milnors K-teori
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2914128
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1119723330
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John
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Milnor
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1970
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In mathematics, Milnor K-theory is an algebraic invariant (denoted for a field ) defined by John Milnor as an attempt to study higher algebraic K-theory in the special case of fields. It was hoped this would help illuminate the structure for algebraic K-theory and give some insight about its relationships with other parts of mathematics, such as Galois cohomology and the Grothendieck–Witt ring of quadratic forms. Before Milnor K-theory was defined, there existed ad-hoc definitions for and . Fortunately, it can be shown Milnor K-theory is a part of algebraic K-theory, which in general is the easiest part to compute.
rdf:langString
La K-théorie de Milnor, théorie mathématique introduite par John Milnor, fait partie des premières tentatives pour définir les groupes de K-théorie algébrique d'ordre supérieur.
rdf:langString
대수적 K이론에서 밀너 환(Milnor環, 영어: Milnor ring)은 각 등급 성분이 대수적 K군으로 가는 자연스러운 군 준동형을 갖는 등급환이다. 그 0~2등급 성분은 대수적 K군과 동형이지만, 이는 고차 등급 성분에서 성립하지 않는다.
rdf:langString
ミルナーのK-理論(Milnor K-theory)は、高次代数的K-理論を定義する初期の試みであり、 Milnor により導入された。
rdf:langString
Inom matematiken är Milnors K-teori ett tidigt försök att definiera högre algebraisk K-teori, introducerat av.
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John Milnor
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21058