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SUMMARY:Jordan DuBeau (CU Boulder)
DTSTART:20220222T200000Z
DTEND:20220222T210000Z
DTSTAMP:20260423T004754Z
UID:PALS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PALS/27/">J
 ónsson Jónsson-Tarski algebras</a>\nby Jordan DuBeau (CU Boulder) as par
 t of PALS Panglobal Algebra and Logic Seminar\n\n\nAbstract\nFor an infini
 te algebra J in a countable algebraic language\, we say J is Jónsson if i
 t has no proper subalgebra of the same cardinality as J. This talk explore
 s Jónsson algebras in a particular variety: the variety of Jónsson-Tarsk
 i algebras. When a Jónsson algebra of size $\\aleph_1$ was constructed in
  this variety\, it showed that minimal varieties can contain uncountable J
 ónsson algebras. We will describe that construction and two further resul
 ts\, demonstrating exactly which cardinalities are possible for Jónsson J
 ónsson-Tarski algebras\, and how many pairwise nonisomorphic Jónsson Jó
 nsson-Tarski algebras exist. We discuss implications for other varieties a
 nd Jónsson algebras in general.\n
LOCATION:https://researchseminars.org/talk/PALS/27/
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