# Messages List

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

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### 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

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### 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

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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

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### 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

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### 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

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### 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

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### 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

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### 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

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### 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

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### Re: Open Problems in Universal Algebra workshop

Thanks for the invite. GG
George Gratzer

Jan 18

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### 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

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### 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

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### 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

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### 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

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