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The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
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In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.