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UID:/NewsandEvents/Events/Upcoming-Events/newsitem
/9779/21-March-2018-Algebra|Coalgebra-Seminar-Fred
erik-M-Lauridsen
DTSTAMP:20180315T145530
SUMMARY:Algebra|Coalgebra Seminar, Frederik M. Lau
ridsen
ATTENDEE;ROLE=Speaker:Frederik M. Lauridsen
DTSTART:20180321T160000
DTEND:20180321T170000
LOCATION:Room F1.15, ILLC, Science Park 107, Amste
rdam
DESCRIPTION:In 1966 Grätzer introduced the notion
of transferability for finite lattices. A finite l
attice L is transferable if whenever L has an embe
dding into the ideal completion of a lattice K, th
en L already has an embedding into K. In this talk
we will introduce the analogous notion of MacNeil
le transferability, replacing the ideal completion
with the MacNeille completion. We will pay partic
ular attention to MacNeille transferability of fin
ite distributive lattices with respect to the clas
s of Heyting algebras. This will also allow us to
find universal classes of Heyting algebras closed
under MacNeille completions. This is joint work w
ith G. Bezhanishvili, J. Harding, and J. Ilin.
X-ALT-DESC;FMTTYPE=text/html:\n In 1966 Grätze
r introduced the notion of transferability for fin
ite lattices. A finite lattice L is transferable i
f whenever L has an embedding into the ideal compl
etion of a lattice K, then L already has an embedd
ing into K. In this talk we will introduce the ana
logous notion of MacNeille transferability, replac
ing the ideal completion with the MacNeille comple
tion. We will pay particular attention to MacNeill
e transferability of finite distributive lattices
with respect to the class of Heyting algebras. Thi
s will also allow us to find universal classes of
Heyting algebras closed under MacNeille completion
s.

\n\n This is joint work with G. Bezhanis
hvili, J. Harding, and J. Ilin.

\n

\n
URL:http://events.illc.uva.nl/alg-coalg
CONTACT:Frederik Lauridsen at f.m.lauridsen at uva
.nl
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