April 04, 2003
Abstract Algebrass

Today, I achieved a state of perfect bliss and harmony. The cosmos and I became as one. I saw at last the goal towards which I have been struggling my entire life, what you might almost call the very purpose of my existence.

Ass is a piece of mathematical terminology.

Given a commutative ring R, and an R-module M, Ass M is the set of all assassins (or associated primes) of M in R, that is, the set of all prime ideals p in R such that there exists an x in M with p = Ann x: an assassin is a prime ideal which, happy day!, turns out to be the annihilator of some element of the module. (Which means p is the set of all elements r in R such that rx=0.)

But that isn't really important, is it?

What is important is that I can use the word 'ass' in maths.

I am complete.

Posted by aloysius at April 04, 2003 05:52 PM |
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