Study of hereditary categories and related topics. Hasselt University
In non-commutative algebraic geometry, one often studies abelian and triangulated categories with properties similar to those of the categories of coherent sheaves on smooth proper algebraic varieties, or to their derived categories. In this way, a category of global dimension one, called a hereditary category, can be interpreted as a category of coherent sheaves on a non-commutative curve. Examples of such categories are given by the category ...