Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Vas, Lia"'
Autor:
Vas, Lia
If $E$ is a graph and $K$ is a field, we consider an ideal $I$ of the Leavitt path algebra $L_K(E)$ of $E$ over $K$. We describe the admissible pair corresponding to the smallest graded ideal which contains $I$ where the grading in question is the na
Externí odkaz:
http://arxiv.org/abs/2312.01160
Autor:
Vas, Lia
If $E$ is a directed graph, $K$ is a field, and $I$ is a graded ideal of the Leavitt path algebra $L_K(E),$ $I$ is completely determined by an admissible pair $(H,S)$ of two sets of vertices of $E$. The ideal $I=I(H,S)$ is graded isomorphic to the Le
Externí odkaz:
http://arxiv.org/abs/2302.10316
Autor:
Vas, Lia
The Graded Classification Conjecture states that the pointed $K_0^{\operatorname{gr}}$-group is a complete invariant of the Leavitt path algebras of finite graphs when these algebras are considered with their natural grading by $\mathbb Z.$ The stron
Externí odkaz:
http://arxiv.org/abs/2206.06458
Autor:
Vas, Lia
Publikováno v:
Journal of Algebraic Combinatorics, 58 (2) (2023), 331 - 353
If $I$ is a (two-sided) ideal of a ring $R$, we let $\operatorname{ann}_l(I)=\{r\in R\mid rI=0\},$ $\operatorname{ann}_r(I)=\{r\in R\mid Ir=0\},$ and $\operatorname{ann}(I)=\operatorname{ann}_l(I)\cap \operatorname{ann}_r(I)$ be the left, the right a
Externí odkaz:
http://arxiv.org/abs/2203.10987
Autor:
Vas, Lia
Publikováno v:
Journal of Pure and Applied Algebra, 227 (3) (2023), 107213
We present a new class of graded irreducible representations of a Leavitt path algebra. This class is new in the sense that its representation space is not isomorphic to any of the existing simple Chen modules. The corresponding graded simple modules
Externí odkaz:
http://arxiv.org/abs/2201.02446
Autor:
Vas, Lia
Publikováno v:
Bulletin of the Australian Mathematical Society, 105 (2) (2022), 248 - 256
We show that every graded ideal of a Leavitt path algebra is graded isomorphic to a Leavitt path algebra. It is known that a graded ideal $I$ of a Leavitt path algebra is isomorphic to the Leavitt path algebra of a graph, known as the generalized hed
Externí odkaz:
http://arxiv.org/abs/2106.14828
Autor:
Vas, Lia
Publikováno v:
Journal of Algebra and its Applications, 22 (2) (2023), 2350050
Various authors have been generalizing some unital ring properties to nonunital rings. We consider properties related to cancellation of modules (being unit-regular, having stable range one, being directly finite, exchange, or clean) and their "local
Externí odkaz:
http://arxiv.org/abs/2106.12031
Autor:
Hazrat, Roozbeh, Vas, Lia
Publikováno v:
New York Journal of Mathematics, 26 (2020), 1375 - 1421
Let $\Gamma$ be the infinite cyclic group on a generator $x.$ To avoid confusion when working with $\mathbb Z$-modules which also have an additional $\mathbb Z$-action, we consider the $\mathbb Z$-action to be a $\Gamma$-action instead. Starting from
Externí odkaz:
http://arxiv.org/abs/2005.14235
Autor:
Hazrat, Roozbeh, Vas, Lia
Publikováno v:
International Journal of Algebra and Computation, 31 (8) (2021), 1753 -- 1773
If $E$ is a directed graph and $K$ is a field, the Leavitt path algebra $L_K(E)$ of $E$ over $K$ is naturally graded by the group of integers $\mathbb Z.$ We formulate properties of the graph $E$ which are equivalent with $L_K(E)$ being a crossed pro
Externí odkaz:
http://arxiv.org/abs/2002.11230
Autor:
Vas, Lia
Publikováno v:
Beitr\"age zur Algebra und Geometrie, 61 (4) (2020), 771 - 781
While every matrix algebra over a field $K$ can be realized as a Leavitt path algebra, this is not the case for every graded matrix algebra over a graded field. We provide a complete description of graded matrix algebras over a field, trivially grade
Externí odkaz:
http://arxiv.org/abs/1910.05174