منابع مشابه
Complete Intersections in Toric Ideals
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.
متن کاملCore and Residual Intersections of Ideals
D. Rees and J. Sally defined the core of an R-ideal I as the intersection of all (minimal) reductions of I. However, it is not easy to give an explicit characterization of it in terms of data attached to the ideal. Until recently, the only case in which a closed formula was known is the one of integrally closed ideals in a two-dimensional regular local ring, due to C. Huneke and I. Swanson. The...
متن کاملHilbert Functions , Residual Intersections , and Residually S 2 Ideals
Let R be a homogeneous ring over an in¢nite ¢eld, I & R a homogeneous ideal, and a & I an ideal generated by s forms of degrees d 1 Y F F F Y d s so that codim a X I X s.We give broad conditions for when the Hilbert function of Raa or of Ra a X I is determined by I and the degrees d 1 Y F F F Y d s. These conditions are expressed in terms of residual intersections of I, culminating in the not...
متن کاملThe Kernels of Radical Homomorphisms and Intersections of Prime Ideals
We establish a necessary condition for a commutative Banach algebra A so that there exists a homomorphism θ from A into another Banach algebra such that the prime radical of the continuity ideal of θ is not a finite intersection of prime ideals in A. We prove that the prime radical of the continuity ideal of an epimorphism from A onto another Banach algebra (or of a derivation from A into a Ban...
متن کاملinjective modules and prime ideals
محور اصلی این پایان نامه، r- مدولهای a – انژکتیو می باشد که آنها را به عنوان یک تعمیم از مدول های انژکتیو معرفی می کنیم. در ابتدا مدول های انژکتیو را معرفی کرده، سپس برخی نتایج مهم وشناخته شده مدول های انژکتیو را به مدول های a – انژکتیو تعمیم می دهیم. در ادامه رابطه بین مدول های a – انژکتیو و حلقه های نوتری را بررسی می کنیم. پس هدف کلی این پایان نامه این است که با بررسی انژکتیو بودن ایده آله...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 1999
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/15/6/311