Download E-books Module Theory: An Approach to Linear Algebra PDF

This textbook presents a self-contained path at the simple houses of modules and their significance within the idea of linear algebra. the 1st eleven chapters introduce the crucial effects and functions of the speculation of modules. next chapters care for complicated linear algebra, together with multilinear and tensor algebra, and discover such issues because the external product method of the determinants of matrices, a module-theoretic method of the constitution of finitely generated Abelian teams, canonical kinds, and common ameliorations. appropriate for undergraduate classes, the textual content now contains a facts of the prestigious Wedderburn-Artin theorem which determines the constitution of easy Artinian jewelry.

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