Classical finite transformation semigroups
Classical finite transformation semigroups
复制标题
DOI：
10.1007/978-1-84800-281-4
复制
发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
O. Ganyushkin;V. Mazorchuk
中科院分区：
文献类型：
--
作者：
O. Ganyushkin;V. Mazorchuk
这本专著的目的是对有限变换半群的现代理论给予一个完整的介绍，并着重于具体的例子和组合应用。它涵盖了三个经典有限变换半群的例子：变换和半群，理想和格林关系，子半群，同余，自同态，幂零子半群，表示，集合上的作用，线性表示，截面和变体。本书包含许多练习和历史评论，首先面向寻找变换半群理论入门的研究生和研究生，也面向导师和研究人员。
The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.