منابع مشابه
Raising to powers revisited
We consider the theory of algebraically closed fields of characteristic zero with raising to powers operations. In an earlier paper we have described complete first-order theories of such a structures, provided that a diophantine conjecture CIT does hold. Here we get rid of this assumption. The theory of complex numbers with raising to real powers satisfies the description if Schanuel’s conject...
متن کاملLinear Resolutions of Powers of Generalized Mixed Product Ideals
Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that Lk have a linear resolution if and only if Ik have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal...
متن کاملGeneralized Test Ideals and Symbolic Powers
In [HH7], developing arguments in [HH5], Hochster and Huneke used classical tight closure techniques to prove a fine behavior of symbolic powers of ideals in regular rings. In this paper, we use generalized test ideals, which are a characteristic p analogue of multiplier ideals, to give a generalization of Hochster-Huneke's results.
متن کاملGeneralized Weighted Inequality with Negative Powers
In this paper necessary and sufficient conditions for the validity of the generalized Hardy inequality for the case −∞ < q p < 0 and 0 < p q < 1 are derived. Furthermore, some special cases are considered.
متن کاملGeneralized Streets Revisited
We consider the problem of a robot inside an unknown polygon that has to nd a path from a starting point s to a target point t. We assume that it is equipped with an on-board vision system through which it can get the visibility map of its surroundings. Furthermore, we assume that the robot is contained in a simple polygon that belongs to the class of generalized streets. We consider three prob...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1182