GROUP GRADINGS ON POLYNOMIAL ALGEBRAS

作者:Dascalescu S*; Nastasescu C; Nastasescu L
来源:Communications in Algebra, 2016, 44(8): 3340-3348.
DOI:10.1080/00927872.2015.1057829

摘要

Let k be a field. We consider gradings on a polynomial algebra k[X-1,..., X-n] by an arbitrary abelian group G, such that the indeterminates are homogeneous elements of nontrivial degree. We classify the isomorphism types of such gradings, and we count them in the case where G is finite. We present some examples of good gradings and find a minimal set of generators of the subalgebra of elements of trivial degree.

  • 出版日期2016