The Associative Algebra

  • Richard S. Pierce
Part of the Graduate Texts in Mathematics book series (GTM, volume 88)


Our objective in this chapter is to show off a few examples of algebras that occur naturally. After a brief orientation toward concepts and notation, the reader is introduced to group algebras, endomorphism algebras, matrix algebras, and quaternion algebras. Along the way, there is a brief digression, which contains a hint of the connection between algebraic geometry and the theory of finite dimensional algebras over a field.


Structure Constant Associative Algebra Unity Element Group Algebra Division Algebra 
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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • Richard S. Pierce
    • 1
  1. 1.University of ArizonaTucsonUSA

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