自由单演逆半群上的核与迹

On Kernel and Trace of Nonidentical Congruences on Monogenic Inverse Semigroups

对于逆半群上的同余ρ,都有相应的核kerρ和迹trρ,同余对(kerρ,trρ)唯一确定了同余ρ。因此,同余的核与迹对研究半群上的同余有非常重要的意义。本文给出自由单演逆半群Ix上四类非恒等关系同余的核与迹,从而得到了它们之间的一系列包含关系。

Any congruence on a free inverse semigroup have its kernel and trace; congruence couples decide the congruence construction. ,So the study of kernel and trace is very important. In this paper, we explore the kernel and trace of nonidentical congruences on monogenic inverse semigroup, the inclusion relation of these congruences.