论文标题
有限链上订购订单转换的半群的正常类别
Normal categories of semigroup of order-preserving transformations on a finite chain
论文作者
论文摘要
K. S. S. Nambooripad插图NORNAL类别，以使常规半群的结构充分描述。在本文中，我们描述了常规半群的理想类别$ ox_n，有限链上的不可固定订单的转换$ x_n = \ {1 \ leq 2 \ leq 2 \ leq \ cdots \ cdots \ leq n \} $是正常类别。此外，还表明，$ ox_n $的主要理想类别作为电源集类别$ p_o（x_n）$ ox_n $和主要权利的理想类别为$ \ prod_o（x_n）$ $ x_n $的订购分区类别，并描述了conemigroup $ t \ mathscr l（mathscr l（ox__n）$ is $ is $ iss $ iss $ issos as y是
K. S. S. Nambooripad intoduced nornal categories to enable to describe the structure of regular semigroups fully. In this paper we describe the ideal categories of the regular semigroup $OX_n,$ of non-invertible order-preserving transformations on a finite chain $X_n=\{1\leq 2\leq \cdots \leq n \}$ which are normal categories. Further it is shown that the principal left ideal category of $OX_n$ as the power set category $P_o(X_n)$ of $OX_n$ and the principal right ideal category as $\prod_o(X_n)$ category of ordered partitions of $X_n$ and described the cone semigroup $T\mathscr L(OX_n)$ and prove that it is isomorphic to $OX_n.$
