Zobrazeno 1 - 10
of 841
pro vyhledávání: '"14A22"'
Autor:
Rogalski, Daniel
We study the spectrum of closed subcategories in a quasi-scheme, i.e. a Grothendieck category $X$. The closed subcategories are the direct analogs of closed subschemes in the commutative case, in the sense that when $X$ is the category of quasi-coher
Externí odkaz:
http://arxiv.org/abs/2411.13706
The goal of this paper is to define a notion of non-commutative Gelfand duality. Using techniques from derived algebraic geometry, we show that category of rings is anti-equivalent to a subcategory of pre-ringed spaces, inspired by Grothendieck's wor
Externí odkaz:
http://arxiv.org/abs/2411.11816
Autor:
Mizuno, Yuki
We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of noncommutative projective schemes are of Fourier-Mukai type.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2411.07813
We develop the concept of a homogeneity supermanifold, which is more general than most of the approaches to graded manifolds present in the literature. Instead of doing it via ringed spaces and sheaves of graded algebras, we prefer a purely different
Externí odkaz:
http://arxiv.org/abs/2411.00537
Autor:
Siqveland, Arvid
We give a definition of associative schemes, schemes of associative rings, over a field $k,$ using the definition of completion of an associative $k$-algebra in a finite set of simple modules. We start by giving a weaker but sufficient definition of
Externí odkaz:
http://arxiv.org/abs/2410.17703
Autor:
Siqveland, Arvid
We prove that for an arbitrary field $k,$ a complete, associative $k^r$-algebra $\hat H$ augmented over $k^r$ has exactly $r$ maximal two-sided ideals and deserves the name $r$-pointed. If $A$ is any $k$-algebra, $M=\{M_i\}_{i=1}^r$ is a family of si
Externí odkaz:
http://arxiv.org/abs/2410.16819
Autor:
Shu, Bin
In this note, we propose a super version of Jacobian conjecture on the automorphisms of affine superspaces over an algebraically closed field $\mathbb{F}$ of characteristic $0$, which predicts that for a homomorphism $\varphi$ of the polynomial super
Externí odkaz:
http://arxiv.org/abs/2410.07008
Autor:
Li, Haonan, Wu, Quanshui
In this note we first study regular $\mathbb{Z}$-graded local rings. We characterize commutative noetherian regular $\mathbb{Z}$-graded local rings in similar ways as in the usual local case. The characterization by the length of (homogeneous) regula
Externí odkaz:
http://arxiv.org/abs/2410.05667
Our work investigates a form of descent, in the fppf and h topologies, for generation of triangulated categories obtained from noncommutative coherent algebras over schemes. In addition, also the behaviour of generation with respect to the derived pu
Externí odkaz:
http://arxiv.org/abs/2410.01785
Autor:
Cimprič, J.
We prove a new quaternionic and a new matrix nullstellensatz. We also show that both theories are intertwined.
Comment: 16 pages, submitted
Comment: 16 pages, submitted
Externí odkaz:
http://arxiv.org/abs/2409.17850