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826

Postdoc position on infinite domain clones / CSP at TU Vienna

A postdoc position will be available at the Institute of Computer Languages of the TU Vienna within the project "Oligomorphic clones" of the Austrian Science
michael pinsker
Apr 28
#826
 
825

reminder of Anders Bjorner's conjecture

I was asked to explain the conjecture of Anders Bjorner regarding geometric lattices: Curtis Greene proved ("A Rank Inequality for Finite Geometric Lattices")
Jonathan Farley
Apr 22
#825
 
824

Anders Bjorner's conjecture from 1977

I liked the answers Keith Kearnes and Ralph Freese provided yesterday! My idea for trying to prove Anders Bjorner's conjecture from 1977 involves two steps.
Jonathan Farley
Apr 22
#824
 
823

Re: infinite geometric lattices of finite height in which every atom

Keith, just got your answer. Here is the start of mine: First suppose that L has height 3. Let a be an atom. Join a with each of the other atoms. The
Ralph Freese
Apr 20
#823
 
822

Re: infinite geometric lattices of finite height in which every atom

... Revision: I think the answer is No. Reason: Suppose L is an example of minimal rank. Then any proper principal filter in L is finite. This forces L to have
    Keith A. Kearnes
    Apr 20
    #822
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    821

    Re: infinite geometric lattices of finite height in which every atom

    Whoops, that example is not right. On Mon, 20 Apr 2015, Jonathan Farley lattice.theory@... [univalg] ... -- Keith A. Kearnes Email:
      Keith A. Kearnes
      Apr 20
      #821
      This message has attachments
      820

      Re: infinite geometric lattices of finite height in which every atom

      ... Yes. Let X be an infinite set. Let P be the poset of subsets of X of size at most 2. Let L be the lattice obtained by adding a top element to P. ... --
        Keith A. Kearnes
        Apr 20
        #820
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        819

        infinite geometric lattices of finite height in which every atom is

        Is there an infinite geometric lattice of finite height r>=3 in which every atom is below at most finitely many co-atoms?
        Jonathan Farley
        Apr 20
        #819
         
        818

        matchings in countably infinite geometric lattices of finite height

        Let *L* be a countably infinite geometric lattice of finite height* r*>=3. Let *A* be its set of rank 1 elements. Let *a* be in *A* and let *B*=*A*\{ *a*}.
        Jonathan Farley
        Mar 2
        #818
         
        817

        Re: Open Problems in Universal Algebra workshop

        Thank you for the invitation. I will try to attend. Matt Insall, PhD Associate Professor Department of Mathematics and Statistics Missouri University of
        Insall, Matt
        Jan 18
        #817
         
        816
        George Gratzer
        Jan 18
        #816
         
        815

        Open Problems in Universal Algebra workshop

        Dear colleagues, We would like to invite you to the Open Problems in Universal Algebra workshop which will happen at Vanderbilt University, Nashville, TN, USA
        Alexandr Kazda
        Jan 13
        #815
         
        814

        Re: question on endomorphisms of free Boolean algebras whose set of

        Here is a link to a paper of Elek and Szabó, which proves that each sophic group satisfies Kaplansky's conjecture. It is conjectured that every group is
        Emil Kiss
        Dec 2, 2014
        #814
         
        813

        Re: question on endomorphisms of free Boolean algebras whose set of

        I still think it makes sense to talk about "Farley Semigroups", especially among cancellative semigroups. More generally, "Farley Algebras"... For example,
        Insall, Matt
        Dec 2, 2014
        #813
         
        812

        Re: question on endomorphisms of free Boolean algebras whose set of

        ... Fred, you are right, + is not join, it is symmetric difference. My mistake. But I think the example is correct. (We can consider B as a Boolean ring as
        Emil Kiss
        Dec 2, 2014
        #812
         
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