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math.AC2003★ 1 cited
On the Cohen-Macaulay property of multiplicative invariants
Martin Lorenz
We investigate the Cohen-Macaulay property for rings of invariants under multiplicative actions of a finite group . By definition, these are -actions on Laurent polynomial al…
math.AC2000
On Cohen-Macaulay rings of invariants
Martin Lorenz, Jawahar Pathak
We investigate the transfer of the Cohen-Macaulay property from a commutative ring to a subring of invariants under the action of a finite group. Our point of view is ring theoreti…
math.AC1999
Multiplicative Invariants and Semigroup Algebras
Martin Lorenz
Let G be a finite group acting by automorphism on a lattice A, and hence on the group algebra S=k[A]. The algebra of G-invariants in S is called an algebra of multiplicative invari…