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...
86 KB (10,288 words) - 21:22, 28 June 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...
26 KB (3,213 words) - 07:56, 3 May 2024
Ernst (1936), "Zyklische Körper und Algebren der Characteristik p vom Grad pn. Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper...
3 KB (466 words) - 16:54, 3 November 2021
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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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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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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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...
48 KB (9,028 words) - 10:59, 14 August 2023
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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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...
6 KB (579 words) - 07:46, 1 March 2024
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...
18 KB (2,494 words) - 02:57, 22 July 2024
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
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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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) - 17:48, 12 July 2024
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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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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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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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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others. Such as the Alexander polynomial. (German: Algebraische Theorie der Körper) In this paper Steinitz axiomatically studied the properties of fields and...
137 KB (15,936 words) - 06:40, 2 July 2024
Energie in Spectrum des schwarzen Körpers und des blanken Platins; 2. Temperaturbestimmung fester glühender Körper". Verhandlungen der Deutschen Physikalischen...
141 KB (18,060 words) - 01:42, 9 June 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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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
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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atomistic constitution of matter. Einstein's "Zur Elektrodynamik bewegter Körper" ("On the Electrodynamics of Moving Bodies") was received on 30 June 1905...
222 KB (22,376 words) - 00:30, 22 July 2024
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...
5 KB (580 words) - 10:12, 17 January 2024