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    3. Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society)

    Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society)

    Posted By: Nice_smile)
    Date: 14 Feb 2017 13:59:54
    Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society)

    Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society) by Dirk Kussin
    English | 2009 | ISBN: 0821844008 | 128 Pages | PDF | 1.93 MB

    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 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 X and the homogeneous prime ideals of height one in R, and these prime ideals are principal in a strong sense.
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