Integral Non-commutative Spaces
Quantum Algebra
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0104046,
title = {Integral Non-commutative Spaces},
author = {S. Paul Smith},
journal= {arXiv preprint arXiv:math/0104046},
year = {2007}
}
Comments
14 pages