关于循环序S-系的(EI)-覆盖

On(E_I)-covers of cyclic S-posets

设S是偏序幺半群,I是S的一个右理想.利用右理想I定义了条件(E_I)并给出了循环序S-系满足条件(E_I)的充分必要条件,研究了所有循环序S-系具有(E_I)-覆盖的偏序幺半群的刻画.所得结论推广了离散序下的相关结果.

Let S be a pomonoid and I be a right ideal of S. Using the right ideal I this article defined condition （E1）, gave a necessary and sufficient condition that a cyclic S-poset satisfies condition （E1）, and investigated the characterization of pomonoids over which every cyclic S-poset had a （E1）-cover. The results were extended ac- cording to the discrete order.