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From numbers to rings: The early history of ring theory - MaRDI portal

From numbers to rings: The early history of ring theory (Q1267722)

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scientific article; zbMATH DE number 1210208
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English
From numbers to rings: The early history of ring theory
scientific article; zbMATH DE number 1210208

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    From numbers to rings: The early history of ring theory (English)
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    16 March 1999
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    In this history of ring theory, going roughly from 1840 to 1940, the author lists the main stages: in the non-commutative theory they are hypercomplex systems and division algebras, while the commutative theory has the two large branches of algebraic number theory and algebraic geometry, with a brief mention of some of the methods to which they gave arise. There is no mention of more modern developments, nor of the many applications: representation theory, power series rings in probability theory, algebras in functional analysis etc.
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    hypercomplex systems
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    division algebras
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    algebraic number theory
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    algebraic geometry
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