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pro vyhledávání: '"16s35"'
We introduce partial group algebras with relations in a purely algebraic framework. Given a group and a set of relations, we define an algebraic partial action and prove that the resulting partial skew group ring is isomorphic to the associated parti
Externí odkaz:
http://arxiv.org/abs/2412.15951
Autor:
Sandøy, Mads Hustad
We classify self-injective radical cube zero algebras with respect to whether they satisfy certain finite generation conditions sufficient to have a fruitful theory of support varieties defined via Hochschild cohomology in the vein of (Erdmann et al,
Externí odkaz:
http://arxiv.org/abs/2411.16179
Autor:
Dokuchaev, Mikhailo, Jerez, Emmanuel
Given a group \( G \), a field \( \kappa \), and a factor set \( \sigma \) arising from a partial projective \( \kappa \)-representation of \( G \). This leads to the construction of a topological partial dynamical system \( (\Omega_\sigma, G, \hat{\
Externí odkaz:
http://arxiv.org/abs/2411.09824
We investigate deformations of skew group algebras that arise from a finite cyclic group acting on a polynomial ring in positive characteristic, where characteristic divides the order of the group. We allow deformations which deform both the group ac
Externí odkaz:
http://arxiv.org/abs/2411.05181
Autor:
de França, Antonio
Let $\mathbb{F}$ be a field and $\mathsf{G}$ a group. This work is inspired in the following problem: "{\it given a division (simple) $\mathsf{G}$-graded $\mathbb{F}$-algebra, is there any other division (simple) $\mathsf{G}$-graded $\mathbb{F}$-alge
Externí odkaz:
http://arxiv.org/abs/2410.13183
In this work, we introduce a new class of algebras called skew-Brauer graph algebras, which generalize the well-known Brauer graph algebras. We establish that skew-Brauer graph algebras are symmetric and can be defined using a Brauer graph with addit
Externí odkaz:
http://arxiv.org/abs/2410.01942
Autor:
Dramburg, Darius, Gasanova, Oleksandra
We classify $n$-representation infinite algebras $\Lambda$ of type \~A. This type is defined by requiring that $\Lambda$ has higher preprojective algebra $\Pi_{n+1}(\Lambda) \simeq k[x_1, \ldots, x_{n+1}] \ast G$, where $G \leq \operatorname{SL}_{n+1
Externí odkaz:
http://arxiv.org/abs/2409.06553
Autor:
Singh, Deependra
Given a field K, one may ask which finite groups are Galois groups of field extensions L/K such that L is a maximal subfield of a division algebra with center K. This connection between inverse Galois theory and division algebras was first explored b
Externí odkaz:
http://arxiv.org/abs/2409.02333
Autor:
Jones, Adam, Woods, William
We define and explore the bounded skew power series ring $R^+[[x;\sigma,\delta]]$ defined over a complete, filtered, Noetherian prime ring $R$ with a commuting skew derivation $(\sigma,\delta)$. We establish precise criteria for when this ring is wel
Externí odkaz:
http://arxiv.org/abs/2408.10545
The twisted group ring isomorphism problem (TGRIP) is a variation of the classical group ring isomorphism problem. It asks whether the ring structure of the twisted group ring determines the group up to isomorphism. In this article, we study the TGRI
Externí odkaz:
http://arxiv.org/abs/2408.03666