Test Ideals in Diagonal Hypersurface Rings
β Scribed by Moira A McDermott
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 86 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Let R s k x , . . . , x r x q ΠΈΠΈΠΈ qx , where k is a field of characteristic p, p
does not divide d, and n G 3. If pd, then the test ideal for R is contained in Ε½ . py 1 Ε½ . py 1 x , . . . , x . If d s p q 1, then the test ideal for R is equal to x , . . . , x .
π SIMILAR VOLUMES
Let A be a finitely generated module over a (Noetherian) local ring R M . We say that a nonzero submodule B of A is basically full in A if no minimal basis for B can be extended to a minimal basis of any submodule of A properly containing B. We prove that a basically full submodule of A is M-primary
A new ideal I\*, the kernel coefficient ideal of a nonprincipal ideal I, is introduced in a commutative Noetherian ring R. Various properties of this ideal and its relations with many other standard concepts are studied. I\* is also examined in terms of a sequence of subideals I and the relation typ
In this paper we explore one aspect of the relationship between group cohomology and representation theory. For a finite group G and a field k in characteristic Ε½ . p)0, ideals in the cohomology ring H \* G, k can sometimes be characterized by exact sequences of kG-modules in much the same way that