Graded polynomial identities and exponential growth

Details Graded polynomial identities and exponential growth Graded polynomial identities and exponential growth

2009-03-10

arxiv.org/abs/0903.1860v1

Mathematics

Rings and Algebras

Scientific paper

Let A be a finite dimensional algebra over a field of characteristic zero graded by a finite abelian group G. Here we study a growth function related to the graded polynomial identities satisfied by A by computing the exponential rate of growth of the sequence of graded codimensions of A. We prove that the G-exponent of A exists and is an integer related in an explicit way to the dimension of a suitable semisimple subalgebra of A.

Affiliated with

Also associated with

No associations

Rating

Graded polynomial identities and exponential growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Graded polynomial identities and exponential growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graded polynomial identities and exponential growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123072