Integral Non-commutative Spaces

Details Integral Non-commutative Spaces Integral Non-commutative Spaces

2001-04-03

arxiv.org/abs/math/0104046v1

Mathematics

Quantum Algebra

14 pages

Scientific paper

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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