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4 papers · 2 filters
Projective equivalence of ideals in Noetherian integral domains
William J. Heinzer, Louis J. Ratliff, David E. Rush
Let I be a nonzero proper ideal in a Noetherian integral domain R. In this paper we establish the existence of a finite separable integral extension domain A of R and a positive in…
Conjugacy classes and invariant subrings of R-automorphisms of R[x]
Jebrel M. Habeb, Mowaffaq Hajja, William J. Heinzer
We consider the group G of R-automorphisms of the polynomial ring R[x] especially in the case where R is the ring of integers modulo n. We describe conjugacy classes in G, and in t…
Cohen-Macaulayness and computation of Newton graded toric rings
Mathias Schulze, Uli Walther
Let be a positive semigroup in generated by , and let be the associated semigroup ring over a field . We investigate heredity of the Cohen-Macaulay…
Local cohomology and pure morphisms
Anurag K. Singh, Uli Walther
We study a question raised by Eisenbud, Mustata, and Stillman regarding the injectivity of natural maps from Ext modules to local cohomology modules. We obtain some positive answer…