Every Noetherian uniformly coherent ring has dimension at most 2
نویسندگان
چکیده
منابع مشابه
Every Strong Digraph has a Spanning Strong Subgraph with at most n + 2 α − 2 arcs
Answering a question of Adrian Bondy [4], we prove that every strong digraph has a spanning strong subgraph with at most n + 2α − 2 arcs, where α is the size of a maximum stable set of D. Such a spanning subgraph can be found in polynomial time. An infinite family of oriented graphs for which this bound is sharp was given by Odile Favaron [3]. A direct corollary of our result is that there exis...
متن کاملInserting Points Uniformly at Every Instance
A problem of arranging n points as uniformly as possible, which is equivalent to that of packing n equal and non-overlapping circles in a unit square, is frequently asked. In this paper we generalize this problem in such a way that points be inserted one by one with uniformity preserved at every instance. Our criteria on uniformity is to minimize the gap ratio (which is the maximum gap over the...
متن کاملShattering-Extremal Set Systems of VC Dimension at most 2
We say that a set system F ⊆ 2[n] shatters a given set S ⊆ [n] if 2S = {F ∩ S : F ∈ F}. The Sauer inequality states that in general, a set system F shatters at least |F| sets. Here we concentrate on the case of equality. A set system is called shattering-extremal if it shatters exactly |F| sets. In this paper we characterize shattering-extremal set systems of Vapnik-Chervonenkis dimension 2 in ...
متن کاملOn co-Noetherian dimension of rings
We define and studyco-Noetherian dimension of rings for which the injective envelopeof simple modules have finite Krull-dimension. This is a Moritainvariant dimension that measures how far the ring is from beingco-Noetherian. The co-Noetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension...
متن کاملOptical klystron FEL scheme for x-ray coherent harmonic generation at ISLF storage ring
The possibility of inserting an optical klystron on the storage ring of an Iranian Light Source Facility as a Synchrotron Radiation Free electron Laser for coherence harmonic generation in the soft x-ray spectrum has been studied. The study has been performed using the 3D FEL simulation code GENESIS 1.3 and in accordance with the available characteristic parameters of ISLF. Different potential ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1983
ISSN: 2156-2261
DOI: 10.1215/kjm/1250521559