Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Letz, Janina C."'
Autor:
Letz, Janina C., Stephan, Marc
This paper concerns the generation time that measures the number of cones necessary to obtain an object in a triangulated category from another object. This invariant is called level. We establish level inequalities for enhanced triangulated categori
Externí odkaz:
http://arxiv.org/abs/2403.00695
We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomology. Then, we prove that the cup product is zero in positive degrees
Externí odkaz:
http://arxiv.org/abs/2312.14699
Autor:
Letz, Janina C.
In this article we prove various results about transferring or lifting $\mathrm{A}_\infty$-algebra structures along quasi-isomorphisms over a commutative ring.
Comment: 20 pages; comments are welcome
Comment: 20 pages; comments are welcome
Externí odkaz:
http://arxiv.org/abs/2312.13696
We define a local homomorphism $(Q,k)\to (R,\ell)$ to be Koszul if its derived fiber $R \otimes^{\mathsf{L}}_Q k$ is formal, and if $\operatorname{Tor}^Q(R,k)$ is Koszul in the classical sense. This recovers the classical definition when $Q$ is a fie
Externí odkaz:
http://arxiv.org/abs/2310.08400
Autor:
Letz, Janina C.
In this paper we give necessary and sufficient conditions for a functor to be representable in a strongly generated triangulated category which has a linear action by a graded ring, and we discuss some applications and examples.
Comment: 10 page
Comment: 10 page
Externí odkaz:
http://arxiv.org/abs/2206.09646
Autor:
Krause, Henning, Letz, Janina C.
For a tensor triangulated category and any regular cardinal $\alpha$ we study the frame of $\alpha$-localizing tensor ideals and its associated space of points. For a well-generated category and its frame of localizing tensor ideals we provide condit
Externí odkaz:
http://arxiv.org/abs/2203.03249
Publikováno v:
In Journal of Algebra 15 September 2024 654:108-131
Publikováno v:
Pacific J. Math. 318 (2022) 275-293
This work concerns surjective maps $\varphi\colon R\to S$ of commutative noetherian local rings with kernel generated by a regular sequence that is part of a minimal generating set for the maximal ideal of $R$. The main result provides criteria for d
Externí odkaz:
http://arxiv.org/abs/2107.07354
It is proved that a map $\varphi\colon R\to S$ of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only $S$ is proxy small as a bimodule. This means that the thick subcategory generated
Externí odkaz:
http://arxiv.org/abs/2007.08562
Autor:
Letz, Janina C.
In the derived category of modules over a commutative noetherian ring a complex $G$ is said to generate a complex $X$ if the latter can be obtained from the former by taking summands and finitely many cones. The number of cones required in this proce
Externí odkaz:
http://arxiv.org/abs/1906.06104