共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
3.
4.
5.
6.
7.
8.
9.
Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan 《Journal of Pure and Applied Algebra》2018,222(11):3560-3565
It is well known that if are algebraic number fields with coprime discriminants, then the composite ring is integrally closed and are linearly disjoint over the field of rationals, being the ring of algebraic integers of . In an attempt to prove the converse of the above result, in this paper we prove that if are finite separable extensions of a valued field of arbitrary rank which are linearly disjoint over and if the integral closure of the valuation ring of v in is a free -module for with integrally closed, then the discriminant of either or of is the unit ideal. We quickly deduce from this result that for algebraic number fields linearly disjoint over for which is integrally closed, the relative discriminants of and must be coprime. 相似文献
10.
11.
For bipartite graphs , the bipartite Ramsey number is the least positive integer so that any coloring of the edges of with colors will result in a copy of in the th color for some . In this paper, our main focus will be to bound the following numbers: and for all for and for Furthermore, we will also show that these mentioned bounds are generally better than the bounds obtained by using the best known Zarankiewicz-type result. 相似文献
12.
13.
14.
Tomoyuki Nakatsuka 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(8):3457-3464
The aim of this paper is to prove a uniqueness criterion for solutions to the stationary Navier–Stokes equation in 3-dimensional exterior domains within the class with , where and are the Lorentz spaces. Our criterion asserts that if and are the solutions, is small in and for some , then . The proof is based on analysis of the dual equation with the aid of the bootstrap argument. 相似文献
15.
16.
17.
18.
19.