SOME IMPORTANT APPLICATIONS OF SEMIGROUPS

I. Liaqat, Wajeeha Younas
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Abstract

This Paper deals with the some important applications of semigroups in general and regular semigroups in particular.The theory of finite semigroups has been of particular importance in theoretical computer science since the 1950s because of the natural link between finite semigroups and finite automata via the syntactic monoid. In probability theory, semigroups are associated with Markov process. In section 2 we have seen different areas of applications of semigroups. We identified some Applications in biology, Partial Differential equation, Formal Languages etc whose semigroup structures are nothing but regular.
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半群的几个重要应用
本文讨论了一般半群,特别是正则半群的一些重要应用。自20世纪50年代以来,有限半群理论在理论计算机科学中具有特别重要的意义,因为有限半群与有限自动机之间通过句法单群存在着天然的联系。在概率论中,半群与马尔可夫过程有关。在第2节中,我们看到了半群在不同领域的应用。我们发现在生物学、偏微分方程、形式语言等领域的一些应用,其半群结构完全是规则的。
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