Products of semigroups and applications on state machines
| dc.contributor.author | BAKRI, Norelhouda | |
| dc.contributor.author | Rapporteur :MIHOUBI, Douadi | |
| dc.date.accessioned | 2023-05-08T13:12:44Z | |
| dc.date.available | 2023-05-08T13:12:44Z | |
| dc.date.issued | 2015-06-10 | |
| dc.description.abstract | The theory of machines that has developed in last twenty years has had a considerable in uence, not only on the computer systems, but also biology, biochemestry, etc. So here we will interest in mathematical theory of various types of machines. The area of mathematics that is of most use to us is that which is known as Modern (or abstract) algebra. For a hundred years, algebra has developed in diĀ¤erent directions. The advent of the theory of machines, has provided us with new motivation for the development of algebra. Recently the semigroups and groups has become an intresting area of study, and one of their operations is semidirect product and wreath product . What we will be doing is to to apply this operations on state machines, by looking at various types of machines, their properties, and we will replace a general state machine by a collection of "algebraically simpler" machines connected up in suitable ways (cascade and wreath product). This work is devided into three chapters First we begin with some elementary material concerning the theory of semigroups and groups. In the second chapter we have direct product, semidirect product and wreath product of semigroups and groups. The third chapter examines many elementary properties of the state machine, the ways in which it can be connected together (direct, cascade and wreath product) and the use of this in decompostion theorem. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/37224 | |
| dc.language.iso | fr | en_US |
| dc.publisher | University of M'sila | en_US |
| dc.subject | Products of semigroups and applications on state machines | en_US |
| dc.title | Products of semigroups and applications on state machines | en_US |
| dc.type | Thesis | en_US |