Strong F-regularity in images of regular rings
نویسندگان
چکیده
منابع مشابه
Strong F-regularity in Images of Regular Rings
We characterize strong F-regularity, a property associated with tight closure, in a large class of rings. A special case of our results is a workable criterion in complete intersection rings. Tight closure is a recently introduced operation linked to a variety of results in commutative algebra. Among the major results achieved with its use are a generalization of the Direct Summand Conjecture f...
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Let R be a noetherian Z-graded integral domain. Then the subset Σ(R) := {λ ∈ Z | Rλ 6= 0} is a finitely generated subsemigroup of Z. We say that R is surjectively graded if for any λ, μ ∈ Σ(R), the product Rλ⊗R0 Rμ → Rλ+μ is surjective. This is essentially a generalization of the degree-one generation property of N-graded rings. The purpose of this paper is to study this property, mainly for no...
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Let Fq be a finite field of characteristic p, K a field containing it, and R = K[X1, . . . , Xn] a polynomial ring in n variables. The general linear group GLn(Fq) has natural action on R by degree preserving ring automorphisms. L. E. Dickson showed that the subring of elements which are fixed by this group action is a polynomial ring, [Di], though for an arbitrary subgroupG of GLn(Fq), the str...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03030-4