@article {Artin:1994-12-01T00:00:00:0001-8708:228,
author = "Artin, M. and Zhang, J.J.",
title = "Noncommutative Projective Schemes",
journal = "Advances in Mathematics",
volume = "109",
number = "2",
year = "1994-12-01T00:00:00",
abstract = "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 **A**_{A}, 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.",
pages = "228-287",
url = "http://www.ingentaconnect.com/content/ap/ai/1994/00000109/00000002/art01087",
doi = "doi:10.0000/136588199241139"
}