Module theory : an approach to linear algebra / T. S. Blyth.
Editor: Oxford : Clarendon Press, 1977Descripción: vi, 400 p. ; 24 cmISBN: 0198531621Tema(s): Modules (Algebra) | Vector spaces | Algebras, LinearOtra clasificación: 16-01 (15-01)1. Modules; vector spaces; algebras2. Submodules; intersections and sums3. Morphisms; exact sequences4. Quotient modules; isomorphism theorems5. Chain conditions; Jordan-Hölder towers6. Products and coproducts7. Free modules; bases8. Groups of morphisms; projective modules9. Duality; transposition10. Matrices; linear equations11. Inner product spaces12. Injective modules13. Tensor products; flat modules14. Tensor products (commutative ground ring); tensor algebras15. Exterior powers; exterior algebras; determinants16. Modules over a principal ideal domain; finitely generated abelian groups17. Vector space decomposition theorems; canonical forms under similarity.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 16 B661 (Browse shelf) | Available | A-5160 |
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| 16 B328 Bibandas : | 16 B421 Ring theory / | 16 B639 Les corps non commutatifs. | 16 B661 Module theory : | 16 C567 Métodos diagramáticos en teoría de representaciones / | 16 C567 Métodos diagramáticos en teoría de representaciones / | 16 C678 Skew field constructions / |
1. Modules; vector spaces; algebras -- 2. Submodules; intersections and sums -- 3. Morphisms; exact sequences -- 4. Quotient modules; isomorphism theorems -- 5. Chain conditions; Jordan-Hölder towers -- 6. Products and coproducts -- 7. Free modules; bases -- 8. Groups of morphisms; projective modules -- 9. Duality; transposition -- 10. Matrices; linear equations -- 11. Inner product spaces -- 12. Injective modules -- 13. Tensor products; flat modules -- 14. Tensor products (commutative ground ring); tensor algebras -- 15. Exterior powers; exterior algebras; determinants -- 16. Modules over a principal ideal domain; finitely generated abelian groups -- 17. Vector space decomposition theorems; canonical forms under similarity.
MR, 58 #10982
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