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Residually Small Varieties Revisited

  • Ralph McKenzie

Abstract

An exaustive survey on the topics of amalgamation, congruence extension, residual smallness, injectivity and related concepts and properties is E.W. Kiss, L. Márki, P. Pröhle, W. Tholen [10]. Our paper has a more modest aim. We focus almost exclusively on residual smallness. After a brief introduction, we discuss the current status of a fascinating open question that concerns the sizes of subdirectly irreducible algebras in finitely generated varieties.

Keywords

Homomorphic Image Unary Algebra Finite Variety Amalgamation Property Finite Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Ralph McKenzie
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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