Density of orbits of semigroups of endomorphisms acting on the Adeles
Density of orbits of semigroups of endomorphisms acting on the Adeles
复制标题
作用于阿黛尔斯的自同态半群轨道密度
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Munday
中科院分区：
文献类型：
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作者：
A. Haynes;S. Munday
研究了A/Q中的点在Q的子集S的自然作用下的轨道在A/Q中是否稠密的问题.证明了：如果集S是一个乘法半群，且至少包含两个乘法独立的元素，其中一个是整数，则任何点在S下的轨道是稠密的.
We investigate the question of whether or not the orbit of a point in A/Q, under the natural action of a subset S of Q, is dense in A/Q. We prove that if the set S is a multiplicative semigroup which contains at least two multiplicatively independent elements, one of which is an integer, then the orbit under S of any point with irrational real coordinate is dense.