## New paper on Jonsson's Theorem

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• Hello, I wrote a little paper on a generalization of Jonsson s Theorem to non-modular varieties, and put it on my web site. The idea is that the proof of the
Message 1 of 2 , Mar 11, 2000
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Hello,

I wrote a little paper on a generalization of Jonsson's Theorem to non-modular
varieties, and put it on my web site. The idea is that the proof of the
theorem motivates a definition of what it means for a congruence \alpha
to centralize a congruence \mu. In modular varieties, this is exactly the
notion of centralization given by commutator theory (as long as \mu is
a minimal nontrivial congruence.) However, in non-modular varieties, we
get possibly more than one maximal centralizer of \mu. It is the maximal
centralizers that appear in the statement of the theorem.

Best regards,

Bill Rowan
• Can you send me the URL of your web-site, Bill, so I can check out the paper? Thanks. Syd B-F ... non-modular ...
Message 2 of 2 , Mar 13, 2000
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Can you send me the URL of your web-site, Bill, so I can check out the
paper? Thanks.

Syd B-F

At 11:46 AM 03/11/2000 -0800, you wrote:
>From: "William H. Rowan" <rowan@...>
>
>
>Hello,
>
>I wrote a little paper on a generalization of Jonsson's Theorem to
non-modular
>varieties, and put it on my web site. The idea is that the proof of the
>theorem motivates a definition of what it means for a congruence \alpha
>to centralize a congruence \mu. In modular varieties, this is exactly the
>notion of centralization given by commutator theory (as long as \mu is
>a minimal nontrivial congruence.) However, in non-modular varieties, we
>get possibly more than one maximal centralizer of \mu. It is the maximal
>centralizers that appear in the statement of the theorem.
>
>Best regards,
>
>Bill Rowan
>
>
>
*****************************************************************************
Sydney Bulman-Fleming, Ph.D.
Professor
Department of Mathematics
Wilfrid Laurier University