Residually Small Varieties Revisited
Ralph McKenzie
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Ralph McKenzie: University of California, Department of Mathematics
A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 185-190 from Springer
Abstract:
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 (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2608-1_20
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DOI: 10.1007/978-1-4899-2608-1_20
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