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We define very proper intersections of modules and projective subschemes. It turns out that equidimensional locally Cohen-Macaulay modules intersect very properly if and only if they intersect properly. We prove a Bezout theorem for modules which meet very properly. Furthermore, we show for...
We consider the
-gradient flow associated with the Yang-Mills functional, the so-called Yang-Mills heat flow. In the setting of a trivial principal SO(n)-bundle over
in dimension n greater than 4, we show blow-up in finite time for a class of SO(n)-equivariant initial...
The purpose of this paper is to investigate general valuations and convex subrings of a commutative ring with higher level preordering. By defining the compatibility between valuations and preorderings (or orderings) of higher level in a commutative ring, we discuss the interplay between...
For a finite dimensional
-algebra A and any
-algebra B, we determine a constant of equivalence of operator space projective norm
$ \| \cdot \|_\wedge$
and the Banach space projective norm
$ \| \cdot \|_\gamma $
$ A \otimes B $
. We also discuss the *-Banach algebra...
Let A be a commutative ring with 1, let
be a preordering of higher level (i.e.
$0,1\in P, -1\not\in P, P+P\subset P, P\cdot P\subset P$
) and let
be an archimedean P-module (i.e.
$1\in M, -1\not\in M, M+M\subset M,...
In this note, we examine the relationship between the twisting of a vector bundle
over a manifold M and the action of the holonomy group of a Riemannian connection on
. For example, if there is a holonomy group which does not act transitively on each fiber of the corresponding...
Properties of space of diagonal operators on semi-normalized Schauder bases are studied. A necessary and sufficient condition is given for the containment of
in the space of compact diagonal operators on a semi-normalized Schauder basis. Using this condition it is shown that there exist...
The integrated density of states (IDS) for the Schrödinger operators is defined in two ways: by using the counting function of eigenvalues of the operator restricted to bounded regions with appropriate boundary conditions or by using the spectral projection of the whole space operator. A...
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