Zobrazeno 1 - 10
of 271
pro vyhledávání: '"16W70"'
Autor:
Gaddis, Jason, Oswald, Amrei
We classify actions of generalized Taft algebras on preprojective algebras of extended Dynkin quivers of type $A$. This may be viewed as an extension of the problem of classifying actions on the polynomial ring in two variables. In cases where the gr
Externí odkaz:
http://arxiv.org/abs/2410.24179
Given a set $A$ and an abelian group $B$ with operators in $A$, in the sense of Krull and Noether, we introduce the Ore group extension $B[x ; \delta_B , \sigma_B]$ as the additive group $B[x]$, with $A[x]$ as a set of operators. Here, the action of
Externí odkaz:
http://arxiv.org/abs/2410.16761
Autor:
Dalezios, Georgios, Stovicek, Jan
We study linear versions of Reedy categories in relation with finite dimensional algebras and abelian model structures. We prove that, for a linear Reedy category $\mathcal{C}$ over a field, the category of left $\mathcal{C}$--modules admits a highes
Externí odkaz:
http://arxiv.org/abs/2409.06823
Autor:
Bäck, Per, Richter, Johan
We prove several new versions of Hilbert's basis theorem for non-associative Ore extensions, non-associative skew Laurent polynomial rings, non-associative skew power series rings, and non-associative skew Laurent series rings. For non-associative sk
Externí odkaz:
http://arxiv.org/abs/2404.16889
Autor:
Suciu, Alexander I.
A complex hyperplane arrangement $\mathcal{A}$ is said to be decomposable if there are no elements in the degree 3 part of its holonomy Lie algebra besides those coming from the rank 2 flats. When this purely combinatorial condition is satisfied, it
Externí odkaz:
http://arxiv.org/abs/2404.04784
Autor:
Brotherston, James A.
We establish monoidal model structures on model categories of filtered chain complexes constructed by Cirici, Egas Santander, Livernet and Whitehouse whose weak equivalences are the quasi-isomorphisms on the $r$-page of the associated spectral sequen
Externí odkaz:
http://arxiv.org/abs/2402.09207
Autor:
Bautista, R., Gonzalez, J. A. Jimenez
Given an algebra $A$ and an $A-A$-bimodule $U$ with co-algebra structure, a bocs, the algebras of endomorphisms of $A$ as left or right module of the bocs are known as Burt-Butler algebras (up to an appropriate opposite). Here we give a description o
Externí odkaz:
http://arxiv.org/abs/2401.14644
Autor:
Lin, Kuei-Nuan, Hsiao, Jen-Chieh
We propose a definition of Cohen--Macaulay modules over the Weyl algebra $D$ and give a sufficient condition for a GKZ $A$-hypergeometric $D$-module to be Cohen--Macaulay.
Comment: 13 pages, 1 table
Comment: 13 pages, 1 table
Externí odkaz:
http://arxiv.org/abs/2309.05864
We introduce a joint generalization, called LRY skein algebras, of Kauffman bracket skein algebras (of surfaces) that encompasses both Roger-Yang skein algebras and stated skein algebras. We will show that, over an arbitrary ground ring which is a co
Externí odkaz:
http://arxiv.org/abs/2308.16702
Autor:
Grong, Erlend, Tripaldi, Francesca
Inspired by Rumin's work on a subcomplex in sub-Riemannian manifolds which is cohomologically equivalent to the de Rham complex, we present a more general construction that produces subcomplexes from any filtered cochain complex of finite depth and s
Externí odkaz:
http://arxiv.org/abs/2308.11353