论文标题
下部三角矩阵环上的自由循环类的轨道
Orbits of Free Cyclic Submodules over Rings of Lower Triangular Matrices
论文作者
论文摘要
给定下三角$ n \ times n $矩阵的环$ t_n，n \ geqslant 2 $带有来自任意字段$ f $的条目，在一般线性线性组$ gl_2（t_n）的作用下，对$^2t_n $的自由环相模块的轨道进行了完整描述。它的总数等于钟数$ b_n $，并显示了他们的代表。
Given a ring $T_n, n\geqslant 2$, of lower triangular $n\times n$ matrices with entries from an arbitrary field $F$, a complete description is performed of the orbits of free cyclic submodules of $^2T_n$, under the action of the general linear group $GL_2(T_n)$. It is given its total number, which is equal to the Bell number $B_n$, and there are shown their representatives.
