We define A∞-bimodules similarly to Tradler and show that this notion is equivalent to an
A∞-functor with two arguments which takes values in the differential graded category of …

There are two parts of noncommutative algebraic geometry–pseudo-geometry and
geometry. Pseudo-geometry stretches our language identifying (different types of) …

ADELES ON n-DIMENSIONAL SCHEMES AND CATEGORIES Cn Page 1 April 16, 2007 18:20
WSPC/133-IJM 00409 International Journal of Mathematics Vol. 18, No. 3 (2007) 269–279 c© …

Given a domain of characteristic zero $ R $, we functorially construct a rigid symmetric
monoidal stable $\infty $-category whose $ K_0 $ is $ R $, solving a problem of Khovanov …

Let Rt be a topological ring: we can consider the categories LRr and of locally compact right
and left modules over It is known that there is always a duality, namely Pontrjagin duality …

We present, in the same vein as in [20] and [21], some results of the so-called" Smooth (or
$\mathcal {C}^\infty $) Commutative Algebra", a version of Commutative Algebra of …

The concept of continuity of a duality (ie, involutive contravariant endofunctor) of the
category LR of locally compact modules over a discrete commutative ring R, was introduced …

A finite ringed space is a ringed space whose underlying topological space is finite. The
category of finite ringed spaces contains, fully faithfully, the category of finite topological …

arXiv:2101.02126v1 [math.AG] 6 Jan 2021 Page 1 arXiv:2101.02126v1 [math.AG] 6 Jan
2021 UNIVERSAL RINGED SPACES J. SÁNCHEZ GONZÁLEZ AND F. SANCHO DE …