Article ID Journal Published Year Pages File Type
4587767 Journal of Algebra 2008 15 Pages PDF
Abstract

Consider the ring of multiplicative invariants, kG[A], of the group algebra k[A] of a faithful G-lattice A over base field k. Among other things, we will determine the cardinality of the set of all initial algebras, in≽(kG[A]), of the ring of multiplicative invariants over all possible admissible orders ≽ on A.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory