Graded Factorial Algebras of Dimension Two | Zendy

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Graded Factorial Algebras of Dimension Two

Author(s) -

Kussin Dirk

Publication year - 1998

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609397003895

Subject(s) - mathematics , algebraically closed field , abelian group , rank (graph theory) , pure mathematics , affine transformation , dimension (graph theory) , factorial , mathematics subject classification , field (mathematics) , finitely generated abelian group , algebra over a field , projective test , combinatorics , mathematical analysis

Extending a theorem of S. Mori [ 6 ], we characterize two‐dimensional factorial algebras which are graded by a finitely generated abelian group of rank one and which are affine over an algebraically closed field. The result is related to the classification of weighted projective lines [ 2 , 5 ] and to the topic of canonical algebras [ 7 ]. 1991 Mathematics Subject Classification 13F15.

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