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math.RA2013
Invariants of (-1)-Skew Polynomial Rings under Permutation Representations
Ellen E. Kirkman, James J. Kuzmanovich, James J. Zhang
The symmetric group S_n acts on the skew polynomial ring A=k_{-1}[x_1,..., x_n] as permutations. For subgroups G of S_n we consider properties of the ring of invariants A^G. We sho…
math.RA2013
Noncommutative Complete Intersections
Ellen E Kirkman, James Kuzmanovich, James J. Zhang
Several generalizations of a commutative ring that is a graded complete intersection are proposed for a noncommutative graded -algebra; these notions are justified by examples f…