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From: "Fred E.J.  Linton" <fejlinton@usa.net>
To: <categories@mta.ca>
Subject: Re: Linear--structure or property?
Date: Sun, 03 Sep 2006 23:11:18 -0400	[thread overview]
Message-ID: <561kiDDks0898S14.1157339478@cmsweb14.cms.usa.net> (raw)

David Ellerman begins,

> When a Boolean algebra B is treated as a Boolean ring in the usual ...

Boolean algebras actually have the additional surprise that,
because their multiplication (meet) is idempotent (as well as
commutative and associative), it distributes over itself 
( a(bc) = (ab)(ac) ) so that one can use multiplication as 
a third addition candidate (the first two having been the 
more usual symmetric difference and join, of course).

Cheers, and Happy Labor Day (in the US, anyway),

-- Fred






             reply	other threads:[~2006-09-04  3:11 UTC|newest]

Thread overview: 11+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2006-09-04  3:11 Fred E.J.  Linton [this message]
  -- strict thread matches above, loose matches on Subject: below --
2006-09-04  4:14 Fred E.J.  Linton
2006-09-03 18:32 David Ellerman
2006-09-03  9:26 Fred E.J.  Linton
2006-08-12 16:35 F W Lawvere
2006-08-11 21:47 George Janelidze
2006-08-11 14:53 George Janelidze
2006-08-11 10:49 Stephen Lack
2006-08-11 14:35 ` F W Lawvere
2006-08-11  9:12 George Janelidze
2006-08-10 20:14 Michael Barr

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