One of the major projects in noncommutative algebraic geometry is to classify
noncommutative curves and noncommutative surfaces [17]. The first half of this article will …

There are several research fields called noncommutative algebraic geometry. In this note,
we will introduce the one founded by M. Artin. Roughly speaking, in this research field, we …

Noncommutative algebra is a rich and diverse field that has influences rooted in algebraic
and differential geometry, representation theory, algebraic combinatorics, mathematical …

Noncommutative projective planes and noncommutative quadrics have clear definitions as
the category qgr of 3-dimensional Artin-Schelter regular quadratic (resp. cubic) Z-algebras …

Let $\mathbf {k} $ be an algebraically closed field of characteristic $\geq 7$ or zero. Let
$\mathcal {A} $ be a tame order of global dimension $2 $ over a normal surface $ X $ over …

We examine several algebraic properties of the noncommutive $ z $-plane and Riemann
surfaces. The starting point of our investigation is a two-dimensional noncommutative field …

I would like to thank all the organizers of the International Workshop on Noncommutative
Geometry, 2005 for giving me this opportunity to speak. In section 1 we shall browse through …

Noncommutative geometry generalizes many geometric results from such fields as
differential geometry and algebraic geometry to a context where commutativity cannot be …

These Lectures are based on a course on noncommutative geometry given by the author in
2003 at the University of Chicago. The lectures contain some standard material, such as …

arXiv:1505.00132v1 [math-ph] 1 May 2015 Noncommutative geometry and physics (February
2007) Page 1 arXiv:1505.00132v1 [math-ph] 1 May 2015 Noncommutative geometry and …