Titlebook: Associative Algebras; Richard S. Pierce Textbook 1982 Springer-Verlag New York Inc. 1982 Algebras.Assoziative Algebra.Category theory.Coho

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Cyclic Division Algebras,a major role in the theory of central simple algebras. If is a local field, an algebraic number field, or more generally a global field, then every central division algebra over . is cyclic. This fact will be proved later; it is one of the most profound results in this book.

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Division Algebras over Number Fields,tral simple algebras over algebraic number fields. This work is associated with the names of several of the greatest heroes of mathematics: Hasse, Brauer, Noether, and Albert. It is based on developments in number theory that are due to Kronecker, Weber, Hilbert, Minkowski, Furtwangler, Artin, Takagi, Hasse, Witt, and many others.

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https://doi.org/10.1007/978-1-4757-0163-0Algebras; Assoziative Algebra; Category theory; Cohomology; Group theory; Lattice; algebra; homomorphism; ri

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