A027623 (rings with n elements)
Edwin Clark
eclark at math.usf.edu
Sat Aug 16 04:33:38 CEST 2003
This was given as an illustration in Neil's Notices article. I took a look
at it:
The offset is given as 0:
But if (R,+,*) is a ring then (R,+) is an abelian group
and so must contain an additive identity. So R has at least one element
and there is no ring with 0 elements, n'est pas?
I notice that the definition given of a group doesn't include a 0, but I
haven't heard of that definition of a group. Also sequence A000688 which
gives the number of abelian groups has offset = 1.
It should be changed to begin with 0 or the offset changed to 1, IMHO.
--Edwin
More information about the SeqFan
mailing list