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In many examples we have a display structure on the cohomology of a projective and smooth scheme which arises as follows: Let p be a fixed prime number and let R be a ring such that
To this end recall from Definition 1.15 in [4] that T is well generated if there is a regular cardinal α such that condition (2) in the following theorem holds.
For closed affine Deligne-Lusztig varieties in the function field case, the set of connected components is also given by a general- ization of the formula in Theorem 1 (see [V3],
to an infinite family of crystalline representations of the same Hodge-Tate types with the same mod p reductions. In the next theorem we prove the same for any
Theorems such as Theorem 3, Theorem 4, Theorem 5, and Theorem 6 can also be proved for right s -unital rings by the same lines as above employing the necessary variations..
In Section 2, including the variable exponent Lebesgue, Sobolev spaces, generalized gradient of locally Lipschitz function and non-smooth three-critical-points theorem.. In section
We shall consider the continuous time problem of optimal choice of new business to minimize infinite time ruin probability.. The objective function is chosen for simplicity and for
To investigate the correlation of these proteoglycans with the cellular localization and phenotypic modulation of smooth muscle cells (SMCs), we analyzed the spatial and
