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Download E-books Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society) PDF

By Dirk Kussin

In those notes the writer investigates noncommutative gentle projective curves of genus 0, also referred to as unprecedented curves. As a chief outcome he exhibits that every such curve X admits, as much as a few weighting, a projective coordinate algebra that is a now not inevitably commutative graded factorial area R within the experience of Chatters and Jordan. in addition, there's a average bijection among the issues of X and the homogeneous major beliefs of peak one in R, and those leading beliefs are critical in a powerful experience.

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