Re: Prime Matrices

In article <Pine.BSI.4.58.0507190021150.12396@xxxxxxxxxxxxxxxxx>,
William Elliot <marsh@xxxxxxxxxxxxxxxxxx> wrote:

> On Tue, 19 Jul 2005, Gerry Myerson wrote:
> > William Elliot <marsh@xxxxxxxxxxxxxxxxxx> wrote:
> > > On Mon, 18 Jul 2005, Leonhard Vogt wrote:
> > > > William Elliot schrieb:
> > > > > On Sun, 17 Jul 2005, Leonhard Vogt wrote:
> > > > >
> > > > >>>>So we can call W =IW as a 'trivial factorization'..& look for
> > > > >>>>non-trivial factorizations...
> > > > >>>>
> > > > >>>A = -I * -A
> > > > >>Why not use the definition of prime in a ring?
> > > > > Because the ring IIRC, isn't UDF.
> > > >
> > > > sorry, i did not understand. What is UDF?
> > > >
> > > Unique Factorization Domain.
> >
> > Then what is UFD?
> >
> An integral domain for which each element within units, uniquely factors
> into primes. For example the integers.

So how does a UFD differ from a UDF?

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.

Relevant Pages

  • Re: Definition for UFD
    ... "The domain A is said to be a unique factorization domain when the ... Let S be a set of irreducible elements of A such that every irreducible ... mentioned and the representation for x follows from the usual definition? ... It's easy to see that if A is a UFD, ...
    (sci.math.research)
  • Re: Definition for UFD
    ... For easy reference, here's the original post: ... "The domain A is said to be a unique factorization domain when the ... mentioned and the representation for x follows from the usual definition? ... It's easy to see that if A is a UFD, ...
    (sci.math.research)
  • Re: Proof of Existence of Unique monic polynomial of minimal degree
    ... such that P= 0 when R is UFD, S is integral domain that is ... On Mar 18, 11:44 pm, Gerry Myerson ... TimmyTimTim wrote: ...
    (sci.math)
  • Definition for UFD
    ... A thread from last May, subject "Definition for UFD", posed the ... "The domain A is said to be a unique factorization domain when the ... Let S be a set of irreducible elements of A such that every irreducible ... mentioned and the representation for x follows from the usual definition? ...
    (sci.math.research)
  • Re: Prime Matrices
    ... What is UDF? ... >> Unique Factorization Domain. ... > Then what is UFD? ... An integral domain for which each element within units, ...
    (sci.math)