Mathematical Sciences: Integral Representations and Ring Theory

本研究关注的是模块的结构， 重点是它们的直和关系和局部-全局关系 关系所涉及的环类是模有限环类 Krull维数交换Noether环上的代数 1.其目的是消除传统的限制， 代数中的积分表示，并得到了积分表示中的新结果 理论 一个环是一个代数对象有一个加法和 最常见的例子是 整数环这些物体出现在许多不同的 数学和理论物理的背景。

This research is concerned with the structure of modules, with emphasis on their direct-sum relations and local-global relations. The class of rings involved is that of module-finite algebras over a commutative noetherian ring of Krull dimension 1. The object is to remove the traditional restrictions on the algebra and obtain new results in integral representation theory. A ring is an algebraic object having an addition and multiplication defined on it. The most familiar example is the ring of integers. These objects occur in many different settings in mathematics and theoretical physics.