Zobrazeno 1 - 10
of 585
pro vyhledávání: '"16S37"'
Autor:
Shepler, Anne V., Witherspoon, Sarah
Alexander-Whitney and Eilenberg-Zilber maps traditionally convert between the tensor product of standard resolutions and the standard resolution of a tensor product of algebras. We examine Alexander-Whitney and Eilenberg-Zilber maps for twisted tenso
Externí odkaz:
http://arxiv.org/abs/2411.04102
In this article we study higher homological properties of $n$-levelled algebras and connect them to properties of the underlying graphs. Notably, to each $2$-representation-finite quadratic monomial algebra $\Lambda$ we associate a bipartite graph $\
Externí odkaz:
http://arxiv.org/abs/2411.00470
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we study the differential smoothness of diffusion algebras.
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2409.18947, arXiv:2408.16648, arXiv:2409.10264
Externí odkaz:
http://arxiv.org/abs/2410.12701
Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_e$ is also Artin-Schelter regular, providing a generalization of the Shephard-Todd-Chevalley Theorem, we say that
Externí odkaz:
http://arxiv.org/abs/2410.08959
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we prove that double extension regular algebras of type (14641) are not differentially smooth.
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2408.16648
Comment: 32 pages. arXiv admin note: text overlap with arXiv:2408.16648
Externí odkaz:
http://arxiv.org/abs/2409.10264
Autor:
Fushimi, Riku
We characterize locally finite non-positive dg algebras that arise as Koszul duals of locally finite non-positive dg algebras. Moreover, we show that the Koszul dual functor induces contravariant derived equivalnces. As a consequence, we prove that e
Externí odkaz:
http://arxiv.org/abs/2409.08842
Autor:
Gao, Yujie, Yang, Shilin
In this paper, it is shown that all PBW-deformations of the smash product $A \# H_{2n^2}$ for the Kac-Paljutkin type Hopf algebra $H_{2n^2}$ that preserve the grading on its Koszul $H_{2n^2}$-module algebra $A$. A necessary and sufficient condition f
Externí odkaz:
http://arxiv.org/abs/2408.16557
We study the cohomology ring of the Bott--Samelson variety. We compute an explicit presentation of this ring via Soergel's result, which implies that it is a purely combinatorial invariant. We use the presentation to introduce the Bott--Samelson ring
Externí odkaz:
http://arxiv.org/abs/2408.10155
Autor:
Reyes, Manuel L., Rogalski, Daniel
We establish a technique to prove that a Koszul graded ring is prime or a domain using information about its Koszul dual. This is based on a general categorical result that expands on methods of J.Y. Guo, which proves that certain orbital rings are p
Externí odkaz:
http://arxiv.org/abs/2407.13119
In this paper, we classify connected graded quadratic Artin-Schelter regular (AS-regular, henceforth) algebras of global dimension four that have a Hilbert series the same as that of the polynomial ring on four generators and that map onto a twisted
Externí odkaz:
http://arxiv.org/abs/2406.12737