Ernst Steinitz worked on the theory of fields. He was born in Laurahütte, Silesia, Germany (now Siemianowice Śląskie, Poland) on 13 June 1871 and died in Kiel on 29 September 1928. His abstract treatment of fields classified the possible types of field and showed how each is built from simpler ones, and it shaped the way algebra was taught for the next century. He is connected with the polyhedron theorem that bears his name and with the conceptual organisation of abstract algebra around structures such as fields.
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Source Ernst Steinitz, Biography (MacTutor History of Mathematics)
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Source Primitive element theorem (Wikipedia)
Source Steinitz exchange lemma, Wikipedia
Source Steinitz's theorem (Wikipedia)
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Source Ernst Steinitz, Biography (MacTutor History of Mathematics)Quick InfoQuote, Quick Info
Born 13 June 1871 Laurahütte, Silesia, Germany (now Siemianowice Śląskie, Poland)
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1. Ernst Steinitz, Biography (MacTutor History of Mathematics)
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Ernst Steinitz worked on the theory of fields.
View the Source Steinitz exchange lemma, Wikipedia
Proofs Credited: Steinitz Exchange Lemma, LeadQuote, Proofs Credited: Steinitz Exchange Lemma, Lead
The result is named after the German mathematician Ernst Steinitz.
View the Source Primitive element theorem (Wikipedia)
Proofs Credited: Primitive Element Theorem, LeadQuote, Proofs Credited: Primitive Element Theorem, Lead
The primitive element theorem was proved in its modern form by Ernst Steinitz, in an influential article on field theory in 1910, which also contains Steinitz's theorem; Steinitz called the "classical" result Theorem of the primitive elements and his modern version Theorem of the intermediate fields.
View the Source Steinitz's theorem (Wikipedia)
Proofs Credited: Steinitz's Theorem (Convex Polytopes), LeadQuote, Proofs Credited: Steinitz's Theorem (Convex Polytopes), Lead
The theorem appears in a 1922 publication of Ernst Steinitz, after whom it is named.
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