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Noncommutative Projective Schemes

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An analogue of the concept of projective scheme is defined for noncommutative ℕ-graded algebras using the quotient category  of graded right A-modules modulo its full subcategory of torsion modules. We define proj A = (, , s), where  is the object corresponding to the module AA, and s is the autoequivalence defined by the shift of degrees. The triples equivalent to proj A for a right noetherian graded algebra A are characterized in terms of a condition  on extensions.

Document Type: Research Article

DOI: http://dx.doi.org/10.0000/136588199241139

Affiliations: MIT, Dept Math, Cambridge, MA 02139, USA and Univ Washington, Dept Math, Seattle, WA 98195, USA

Publication date: December 1, 1994

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