论文标题
在更高维矩阵环上扩大现象
Expanding phenomena over higher dimensional matrix rings
论文作者
论文摘要
在本文中，我们研究了较高维矩阵环的情况下的扩展现象。更确切地说，我们获得了大型子集的总和估计值，并表明X + Yz，X（Y + Z）是矩阵环上的中等扩展器，而XY + Z + T在矩阵环上是强大的扩展器。这些结果概括了Y.D.的最新结果Karabulut，D。Koh，T。Pham，C-Y。沉，第二位列出的作者。
In this paper, we study the expanding phenomena in the setting of higher dimensional matrix rings. More precisely, we obtain a sum-product estimate for large subsets and show that x+yz, x(y+z) are moderate expanders over the matrix ring, and xy + z + t is strong expander over the matrix rings. These results generalize recent results of Y.D. Karabulut, D. Koh, T. Pham, C-Y. Shen, and the second listed author.
