The Abelian subvariety

  • Ralph McKenzie
  • Matthew Valeriote
Part of the Progress in Mathematics book series (PM, volume 79)


We continue to work with a fixed locally finite variety that is structured. In this chapter we introduce certain properties of finite algebras that we call transfer principles. Using a theorem concerning these principles which will be proved in the next chapter, we give a short proof that V1 V V2 is an Abelian variety. The concept which we now introduce, and our reasoning about it, depend heavily on tame congruence theory. (See § 0.6.)


Abelian Variety Finite Variety Transfer Principle Finite Algebra Irreducible Algebra 
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Copyright information

© Birkhäuser Boston, Inc. 1989

Authors and Affiliations

  • Ralph McKenzie
    • 1
  • Matthew Valeriote
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Department of Mathematics and StatisticsMcMaster UniversityHamiltonCanada

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