Algebra pp 503-552 | Cite as

Matrices and Linear Maps

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 211)


Presumably readers of this chapter will have had some basic acquaintance with linear algebra in elementary courses. We go beyond such courses by pointing out that a lot of results hold for free modules over a commutative ring. This is useful when one wants to deal with families of linear maps, and reduction modulo an ideal.


Column Vector Bilinear Form Commutative Ring Left Ideal Free Module 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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