[seqfan] Re: "Simple" rings

[W. Edwin Clark]

The only thing that comes up on a search on the words:

  indecomposable rings

 is
A112951Number of indecomposable Schur rings over the field Z_{2^n}.

There is obviously an error here since Z_{2^n} is not a field if n>1.
I just submitted this change.

--Edwin

On Fri, Dec 28, 2012 at 9:04 PM, Charles Greathouse <
charles.greathouse at case.edu> wrote:

> So is there a sequence in the OEIS for "number of directly indecomposable
> rings of order n"?
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>
> On Fri, Dec 28, 2012 at 6:58 PM, Rob Arthan <rda at lemma-one.com> wrote:
>
> >
> > On Dec 28, 2012, at 9:53 PM, W. Edwin Clark <wclark at mail.usf.edu> wrote:
> >
> > > I'm not sure there is a name for (associative) rings that are not
> direct
> > > sums of other rings.
> >
> > The accepted term for this property in universal algebra is "directly
> > indecomposable", I believe.
> >
> > Regards,
> >
> > Rob.
> >
> >
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