From phma@oltronics.net Sat Jul 08 03:10:19 2000 Return-Path: Received: (qmail 24279 invoked from network); 8 Jul 2000 10:10:18 -0000 Received: from unknown (10.1.10.142) by m2.onelist.org with QMQP; 8 Jul 2000 10:10:18 -0000 Received: from unknown (HELO mail.oltronics.net) (204.213.85.8) by mta1 with SMTP; 8 Jul 2000 10:10:18 -0000 Received: from neofelis (root@localhost) by mail.oltronics.net (8.9.3/8.9.3) with SMTP id GAA31490 for ; Sat, 8 Jul 2000 06:10:15 -0400 X-BlackMail: 207.15.133.34, neofelis, , 207.15.133.34 X-Authenticated-Timestamp: 06:10:16(EDT) on July 08, 2000 To: Subject: Re: [lojban] 2 maths questions Date: Sat, 8 Jul 2000 05:48:26 -0400 X-Mailer: KMail [version 1.0.28] Content-Type: text/plain References: <010701bfe898$95cd5c80$5408fd80@resnet.cornell.edu> In-Reply-To: <010701bfe898$95cd5c80$5408fd80@resnet.cornell.edu> MIME-Version: 1.0 Message-Id: <00070806100701.08867@neofelis> Content-Transfer-Encoding: 8bit From: Pierre Abbat >I'm surprised there isn't already a lujvo for "prime number". How about: > >ralnamcu (ralju+namcu) x1 is a prime number of mathematical field x2 by >convention x3 Primes are found in integral domains, not fields. In a field, every nonzero number has an inverse, which means you can find two other numbers which multiply to it (as long as the characteristic of the field isn't 2 or 3). What is "by convention x3" for? Speaking of domains, what should we call the mathematical terms group, ring, domain, body, and field? "Body" (corps, Körper) is a term used in French and German for a division ring, and usually is used instead of "field". phma