Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414449 | Journal of Algebra | 2015 | 6 Pages |
Abstract
We consider the ring of coinvariants for a modular representation of a cyclic group of prime order p. We show that the classes of the terminal variables in the coinvariants have nilpotency degree p and that the coinvariants are a free module over the subalgebra generated by these classes. An incidental result we have is a description of a Gröbner basis for the Hilbert ideal and a decomposition of the corresponding monomial basis for the coinvariants with respect to the monomials in the terminal variables.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Müfit Sezer,