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of 262
pro vyhledávání: '"16d60"'
We develop the theory of groupoid graded semisimple rings. Our rings are neither unital nor one-sided artinian. Instead, they exhibit a strong version of having local units and being locally artinian, and we call them $\Gamma_0$-artinian. One of our
Externí odkaz:
http://arxiv.org/abs/2408.03141
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Externí odkaz:
http://arxiv.org/abs/2408.07073
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we investigate the attached prime ideals of inverse polynomial modules over skew Ore polynomials.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2406.19935
Autor:
Mi, Zhongkai
In a previous joint paper with Wu and Yakimov, we gave an explicit description of the lowest discriminant ideal in a Cayley-Hamilton Hopf algebra (H,C,tr) of degree d over an algebraically closed field k, char k $\notin[1, d]$ with basic identity fib
Externí odkaz:
http://arxiv.org/abs/2404.10366
Autor:
Bavula, Volodymyr, Khabyah, A. Al
In \cite{BigAlg-3gen}, an explicit description of bi-quadratic algebras on three generators with PBW basis was obtained. There are four classes: I-IV. The aim of the paper is to study algebras that belong to one of the classes: class II.1. In this cl
Externí odkaz:
http://arxiv.org/abs/2312.17182
Autor:
Krasula, Dominik
This paper studies the M\"obius function and related questions about the finiteness of the poset of submodules of semisimple and general modules. We show how to calculate the M\"obius function for semisimple modules based on endomorphism rings of sim
Externí odkaz:
http://arxiv.org/abs/2403.05656
Autor:
Bavula, Volodymyr, Hakami, K.
The aim of the paper is to study the ring of differential operators $\mathcal{D}(A(m))$ on the generalized multi-cusp algebra $A(m)$ where $m\in \mathbb{N}^n$ (of Krull dimension $n$). The algebra $A(m)$ is singular apart from the single case when $m
Externí odkaz:
http://arxiv.org/abs/2312.17303
Autor:
Bavula, Volodymyr
This paper consists of three parts: (I) To develop general theory of a (large) class of central simple finite dimensional algebras and answering some natural questions about them (that in general situation it is not even clear how to approach them, a
Externí odkaz:
http://arxiv.org/abs/2312.17302
Autor:
Baccella, Giuseppe
For every partially ordered sets I, having a finite cofinal subset, and every field K we build a unital, locally matricial and hence unit-regular K-algebra B(I) such that the lattice of all its ideals is order isomorphic to the lattice of all lower s
Externí odkaz:
http://arxiv.org/abs/2312.12194
Publikováno v:
Journal of Algebra, 654 (2024), 189-234
In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebras. As an application, we study Zhang twist of Leavitt path algebras a
Externí odkaz:
http://arxiv.org/abs/2311.15910