نتایج جستجو برای: cohen
تعداد نتایج: 10795 فیلتر نتایج به سال:
We show that a finite regular cell complex with the intersection property is a Cohen-Macaulay space iff the top enriched cohomology module is the only nonvanishing one. We prove a comprehensive generalization of Balinski’s theorem on convex polytopes. Also we show that for any Cohen-Macaulay cell complex as above, although there is now generalization of the Stanley-Reisner ring of simplicial co...
let $i$ be an ideal in a regular local ring $(r,n)$, we will find bounds on the first and the last betti numbers of $(a,m)=(r/i,n/i)$. if $a$ is an artinian ring of the embedding codimension $h$, $i$ has the initial degree $t$ and $mu(m^t)=1$, we call $a$ a {it $t-$extended stretched local ring}. this class of local rings is a natural generalization of the class of stretched ...
Given a real matrix Q,X:,, when is Q in the convex hull of { Y’m’},? In this paper some necessary conditions on Q-the “diagonal inequality”-are formulated and they are proved to generalize the Cohen-Falmagne conditions. A counterexample shows that the diagonal inequality is insufficient (as are hence, perforce, the Cohen-Falmagne conditions). The same example is used to show that Fishburn’s con...
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