In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...
32 KB (4,185 words) - 14:05, 4 June 2024
Field (mathematics) (redirect from Field (algebra))
Zbl 0674.13008 Steinitz, Ernst (1910), "Algebraische Theorie der Körper" [Algebraic Theory of Fields], Journal für die reine und angewandte Mathematik...
87 KB (10,299 words) - 08:01, 21 August 2024
mathematics, real algebraic geometry is the sub-branch of algebraic geometry studying real algebraic sets, i.e. real-number solutions to algebraic equations with...
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Ernst (1936), "Zyklische Körper und Algebren der Characteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper...
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algebraischen Körper, supervised by Thoralf Skolem. Ore also studied at Göttingen University, where he learned Emmy Noether's new approach to abstract algebra. He...
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quadratische Formen im Körper der rationalen Zahlen“, Journal reine angew.Math. 1923 Hasse diagram Hasse invariant of an algebra Hasse invariant of an...
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Verschiebung operator (category Algebraic groups)
Ernst (1937), "Zyklische Körper und Algebren der Characteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper...
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published the very influential paper Algebraische Theorie der Körper (German: Algebraic Theory of Fields, Crelle's Journal). In this paper he axiomatically...
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In mathematics, a field F is called quasi-algebraically closed (or C1) if every non-constant homogeneous polynomial P over F has a non-trivial zero provided...
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and algebra K {\displaystyle \mathbb {K} } , in blackboard bold, is a commonly used symbol for a field, as an abbreviation of the German Körper. K, the...
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March 1954) is a German mathematician, specializing in algebra, algebraic number theory, and algebraic geometry. Born in Meddewade, Jannsen studied mathematics...
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mathematical field of algebraic number theory, the concept of principalization refers to a situation when, given an extension of algebraic number fields, some...
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Witt vector (category Algebraic groups)
Ernst (1936), "Zyklische Körper und Algebren der Characteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper...
35 KB (7,389 words) - 06:45, 24 August 2023
in 1928. There, he published Ernst Steinitz's "Algebraische Theorie der Körper" with Helmut Hasse, first published in Crelle's Journal in 1910. While Baer...
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Squeeze mapping (category Linear algebra)
In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves Euclidean area of regions in the Cartesian...
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gave the second and third complete proofs of the fundamental theorem of algebra, made contributions to number theory, and developed the theories of binary...
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In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space....
69 KB (9,354 words) - 18:12, 24 August 2024
Chiungtze C. Tsen (category Algebraic geometers)
work in algebra. He was one of Emmy Noether's students at the University of Göttingen, Germany. One of his research interests was quasi-algebraic closure...
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Glossary of arithmetic and diophantine geometry (category Algebraic geometry)
kommutativer Körper". J. Chinese Math. Soc. 171: 81–92. Zbl 0015.38803. Lorenz, Falko (2008). Algebra. Volume II: Fields with Structure, Algebras and Advanced...
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Sciences, 140: 1504–1508 Einstein, Albert (1905), "Zur Elektrodynamik bewegter Körper" (PDF), Annalen der Physik, 322 (10): 891–921, Bibcode:1905AnP...322..891E...
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was a German mathematician. He is remembered for promoting the geometric algebra of Hermann Grassmann and for a method of visualizing polytopes called Schlegel...
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algebras. Profinite integer Steinitz, Ernst (1910). "Algebraische Theorie der Körper". Journal für die reine und angewandte Mathematik (in German). 137: 167–309...
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Alfred Clebsch (category Algebraic geometers)
Functionen with P. Gordan (B. G. Teubner, 1866) Theorie der Elasticität fester Körper (B. G. Teubner, 1862) Clebsch graph Clebsch representation Clebsch surface...
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Wei-Liang Chow (category Algebraic geometers)
mathematician and stamp collector. He was well known for his work in algebraic geometry. Chow was a student in the US, graduating from the University...
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Hasse's theorem on elliptic curves (category Theorems in algebraic number theory)
conjecture Schoof's algorithm Weil's bound Artin, Emil (1924), "Quadratische Körper im Gebiete der höheren Kongruenzen. II. Analytischer Teil", Mathematische...
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1651 (1978) Einstein, Albert (30 June 1905). "Zur Elektrodynamik bewegter Körper". Annalen der Physik. 17 (10): 891–921. Bibcode:1905AnP...322..891E. doi:10...
60 KB (8,455 words) - 22:22, 30 May 2024
Steinitz's theorem (field theory) (category Theorems in abstract algebra)
on line July 19, 2023. Steinitz, Ernst (1910). "Algebraische Theorie der Körper". Journal für die reine und angewandte Mathematik (in German). 1910 (137):...
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Resolution of singularities (category Algebraic geometry)
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety V has a resolution, which is a non-singular variety...
42 KB (5,453 words) - 17:04, 6 May 2024
Energie in Spectrum des schwarzen Körpers und des blanken Platins; 2. Temperaturbestimmung fester glühender Körper". Verhandlungen der Deutschen Physikalischen...
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Primitive element theorem (category Theorems in abstract algebra)
generated by a single element. This theorem implies in particular that all algebraic number fields over the rational numbers, and all extensions in which both...
12 KB (1,911 words) - 20:46, 14 April 2024