Umfang:
XII, 932 S.
,
graph. Darst.
Ausgabe:
3. ed., repr.
ISBN:
9788126532285
Anmerkung:
Wiley student edition
,
pt. 1. Group theory. Introduction to groups -- Subgroups -- Quotient groups and homomorphisms -- Group actions -- Direct and semidirect products and abelian groups -- Further topics in group theory -- pt. 2. Ring theory. Introduction to rings -- Euclidean domains, principal ideal domains and unique factorization domains -- Polynomial rings -- pt. 3. Modules and vector spaces. Introduction to module theory -- Vector spaces -- Modules over principal ideal domains -- pt. 4. Field theory and Galois theory. Field theory -- Galois theory -- pt. 5. An introduction to commutative rings, algebraic geometry, and homological algebra. Commutative rings and algebraic geometry -- Artinian rings, discrete valuation rings, and Dedekind domains -- Introduction to homological algebra and group cohomology -- pt. 6. Introduction to the representation theory of finite groups. Representation theory and character theory -- Examples and applications of character theory.
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Universelle Algebra
;
Algebra
;
Lehrbuch
