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Module theory: an approach to linear algebra by T. S. Blyth

Module theory: an approach to linear algebra T. S. Blyth ebook
ISBN: 0198533896, 9780198533894
Format: pdf
Page: 410
Publisher: Oxford University Press, USA

And while Mac Lane's “Homology” and its friend by Cartan and Eilenberg are certainly fairly comprehensive sources of homological algebra, viewpoint shifts in the subject have made more recent approaches desirable. Matsumura Commutative Ring Theory - H. The discrete algebras A over a commutative ring R which can be realised as the full endomorphism algebra of a torsion-free R-module have been investigated by Dugas and Gobel under the additional set-theoretic axiom of constructibility, V = L. Many interesting results have Here these results are rederived in a more natural topological setting and substantial generalizations to topological algebras (which could not be handled in the previous linear algebra approach) are obtained. Artin's very elegant approach emphasizing linear algebra, Galois theory (University of Notre Dame Press, Notre Dame) (1942; Zbl 0060.04813), reprint by (Dover Publications, New York) (1998; Zbl 1053.12501)] which quickly leads to the fundamental theorems in their modern setting. Coutinho Abel's Theorem in Problems and Solutions - V.B. Equations, which by the way is motivating and enlightening enough, but focuses instead on E. Algebra: An Approach via Module Theory. A Primer of Algebraic D-modules - S. Alekseev Abstract Algebra - the Calculus approach to matrix eigenvalue algorithms - Hueper Commutative Algebra 2nd ed. His other books include Algebra: An Approach via Module Theory (with W. Weibel's 'An IHA is very readable, and I feel definitely suitable for a first introduction to homological algebra as long as the reader is comfortable with basic category theory basic module theory including projective and injective modules. I guess you have been giving a standard course in linear algebra, with no reference to applications in your field of interest.