منابع مشابه
Sums of Strongly z-Ideals and Prime Ideals in ${mathcal{R}} L$
It is well-known that the sum of two $z$-ideals in $C(X)$ is either $C(X)$ or a $z$-ideal. The main aim of this paper is to study the sum of strongly $z$-ideals in ${mathcal{R}} L$, the ring of real-valued continuous functions on a frame $L$. For every ideal $I$ in ${mathcal{R}} L$, we introduce the biggest strongly $z$-ideal included in $I$ and the smallest strongly $z$-ideal containing ...
متن کاملMultiplier Ideals of Sums via Cellular Resolutions
Fix nonzero ideal sheaves a1, . . . , ar and b on a normal Q-Gorenstein complex variety X . For any positive real numbers α and β, we construct a resolution of the multiplier ideal J ((a1 + · · · + ar) α b ) by sheaves that are direct sums of multiplier ideals J (a1 1 · · · a λr r b ) for various λ ∈ Rr≥0 satisfying ∑r i=1 λi = α. The resolution is cellular, in the sense that its boundary maps ...
متن کاملSymmetric Matrices , Self - Linked Ideals , and Symbolic Powers
Inspired by recent work in the theory of central projections onto hyper-surfaces, we characterize self-linked perfect ideals of grade 2 as those with a Hilbert– Burch matrix that has a maximal symmetric subblock. We also prove that every Gorenstein perfect algebra of grade 1 can be presented, as a module, by a symmetric matrix. Both results are derived from the same elementary lemma about symme...
متن کاملGorenstein Algebras, Symmetric Matrices, Self-linked Ideals, and Symbolic Powers
Inspired by recent work in the theory of central projections onto hypersurfaces, we characterize self-linked perfect ideals of grade 2 as those with a Hilbert–Burch matrix that has a maximal symmetric subblock. We also prove that every Gorenstein perfect algebra of grade 1 can be presented, as a module, by a symmetric matrix. Both results are derived from the same elementary lemma about symmetr...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1990
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1990-0964902-8