Radical Theory of Rings (Chapman & Hall/CRC Pure and Applied Mathematics)

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Chapman & Hall/CRC Pure and Applied Mathematics - Routledge

Brian S. Lawrence Narici. Izu Vaisman. Sergio Macias. Willi Freeden. Mircea Sofonea. Wong Yau-Chun. Integral extensions. Tensor products. Moduletheoretic prerequisites. Topological prerequisites. Normal extensions. Valuation rings and places. Dedekind domains. Completion of a field.

Günter Lumer (1929–2005)

Extensions of valuations. Valuations of algebraic number fields. Structure of complete discrete valued fields. B The equal characteristic case. The unequal characteristic case. Separable purely inseparable and simple extensions. Galois extensions. Finite fields roots of unity and cyclotomic extensions. Norms traces and their applications.