Course In Algebra, A

Inbunden, Engelska, 2000

1 402 kr

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Beskrivning

This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and applied aspects.

Produktinformation

Utgivningsdatum:2000-01-03
Mått:162 x 225 x 20 mm
Vikt:481 g
Format:Inbunden
Språk:Engelska
Antal sidor:260
Förlag:World Scientific Publishing Co Pte Ltd
ISBN:9789810240615

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

Preliminaries - sets; logic; relations; maps; Zorn's lemma; groups - transformations and permutations; groups; subgroups; homomorphisms, isomorphisms; cosets; normal subgroups, quotient groups; homomorphism theorems; cyclic groups, orders of elements; direct products; rings - fundamentals; zero divisors, invertible elements; ideals, residue rings; homomorphism theorems; prime ideals, maximal ideals; direct sums; fraction fields of integral domains; polynomial rings; factorial rings; polynomial rings over factorial rings; modules -modules; homomorphisms; direct products, direct sums; exact sequences of homomorphisms; free modules, matrices over rings; matrices over division rings; matrices over commutative rings; algebras over commutative rings; tensor products; projective modules, injective modules; fields - subfields and extensions; single extensions; algebraic extensions; splitting fields, normal extensions; two applications; separability, multiple roots; finite fields; coding; p-adic numbers; quaternions.