Mathematical Sciences: Global Structure Theory for ArbitrarySemigroups

关于这项赠款的研究涉及全球结构 任意无限半群的理论申请将 形式语言，无限群理论和决策 问题数学发展将包括 以下是：一般机器，内核之间的态射 半群，扩张，素分解定理 任意半群及其应用 这个研究是在半群的领域。一个半群是 最简单的抽象数学结构之一 由一个具有一个关联操作的集合组成。 将研究这些非常一般的物体的结构。 应用程序将被给予数学的各个领域， 计算机科学

The research on this grant concerns the global structure theory for arbitrary infinite semigroups. Applications will be given to formal languages, infinite group theory, and decision problems. The mathematical development will consist of the following: general machinery, the kernel of a morphism between semigroups, expansions, the prime decomposition theorem for arbitrary semigroups and applications. This research is in the area of semigroups. A semigroup is one of the simplest of the abstract mathematical structures, consisting of a set with one associative operation on it. The structure of these very general objects will be investigated. Applications will be given to various areas of mathematics and computer science.