Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Gasanova, Oleksandra"'
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
For an ideal $I$ in a Noetherian ring $R$, we introduce and study its conductor as a tool to explore the Rees algebra of $I$. The conductor of $I$ is an ideal $C(I)\subset R$ obtained from the defining ideals of the Rees algebra and the symmetric alg
Externí odkaz:
http://arxiv.org/abs/2407.06922
Autor:
Dramburg, Darius, Gasanova, Oleksandra
Let $G \leq \operatorname{SL}_{n+1}(\mathbb{C})$ act on $R = \mathbb{C}[X_1, \ldots, X_{n+1}]$ by change of variables. Then, the skew-group algebra $R \ast G$ is bimodule $(n+1)$-Calabi-Yau. Under certain circumstances, the algebra admits a locally f
Externí odkaz:
http://arxiv.org/abs/2401.10720
In this paper we explore certain properties of the Rees algebra of $I_t(C_n)$, the $t$-path ideal of an $n$-cycle. Our main focus is on the cases when such ideals are of fiber type.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2401.04911
Autor:
Gasanova, Oleksandra, Nicklasson, Lisa
Publikováno v:
Journal of Algebraic Combinatorics, Volume 59, pages 473-494, (2024)
We introduce a family of toric algebras defined by maximal chains of a finite distributive lattice. Applying results on stable set polytopes we conclude that every such algebra is normal and Cohen-Macaulay, and give an interpretation of its Krull dim
Externí odkaz:
http://arxiv.org/abs/2304.04810
Let $R$ be a Cohen--Macaulay local $K$-algebra or a standard graded $K$-algebra over a field $K$ with a canonical module $\omega_R$. The trace of $\omega_R$ is the ideal $tr(\omega_R)$ of $R$ which is the sum of those ideals $\varphi(\omega_R)$ with
Externí odkaz:
http://arxiv.org/abs/2112.04237
Autor:
Dramburg, Darius, Gasanova, Oleksandra
Publikováno v:
In Journal of Pure and Applied Algebra December 2024 228(12)
We propose a novel approach to distinguish table vs non-table ideals by using different machine learning algorithms. We introduce the reader to table ideals, assuming some knowledge on commutative algebra and describe their main properties. We create
Externí odkaz:
http://arxiv.org/abs/2109.11417
Publikováno v:
Journal of Pure and Applied Algebra, Vol. 226, Issue 6, 2022, 106968
We introduce a general technique for decomposing monomial algebras which we use to study the Lefschetz properties. We apply our technique to various classes of algebras, including monomial almost complete intersections and Gorenstein algebras. In par
Externí odkaz:
http://arxiv.org/abs/2006.14453