arXiv math/01040462001-04-03math.QA

Integral Non-commutative Spaces

S. Paul Smith

备注：: 14 pages

英文摘要：

This paper introduces a notion of integrality that is suitable for non-commutative varieties. It is compatible with the usual notion of integrality for schemes. The function field and generic point of a non-commutative integral space are also defined. These agree with the usual notion for noetherian schemes. It is shown that these notions behave as one would wish. For example, various non-commutative analogues of projective space are integral.

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