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Part of the book series: Progress in Mathematics ((PM,volume 79))

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Abstract

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.)

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© 1989 Birkhäuser Boston, Inc.

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McKenzie, R., Valeriote, M. (1989). The Abelian subvariety. In: Structure of Decidable Locally Finite Varieties. Progress in Mathematics, vol 79. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4552-0_6

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  • DOI: https://doi.org/10.1007/978-1-4612-4552-0_6

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8908-1

  • Online ISBN: 978-1-4612-4552-0

  • eBook Packages: Springer Book Archive

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