Mathematical Sciences: Representation Theory of Artin Algebras

本研究涉及的是 artin代数主要研究者将研究幂等 理想和拟遗传代数的其他推广， 他们的用处在减少问题代数与 更少的简单模块她还将研究逆变有限 artin代数上的n-生成模的子范畴 关于有限整体维数猜想， 几乎分裂序列的存在性 这项研究是在环理论的一般领域。的环 是一个既有加法又有 这些物体自然产生， 在数学和物理学的许多领域都很重要。

This research is concerned with the representation theory of artin algebras. The principal investigator will study idempotent ideals and other generalizations of quasihereditary algebras and their usefulness in the reduction of problems to algebras with fewer simple modules. She will also study contravariantly finite subcategories of finitely generated modules over artin algebras with regard to the finitestic global dimension conjecture and existence of almost split sequences. This research is in the general area of ring theory. A ring is an algebraic structure having both an addition and a multiplication defined on it. These objects arise naturally and are important in many areas of mathematics and physics.