Ayako Itaba

activity

20142026

most citedAS-regularity of geometric algebras of plane cubic curves

10 citations · 15 across the 10 of their papers we have counts for

collaborators

12 papers

cs.GT2026

Robust Proportionality Axioms for Additive Utilities

Piotr Skowron

We study the model of participatory budgeting, in which a subset of candidates is selected subject to a budget constraint. Voters express their preferences by assigning a numerical…

math.QA2026

Braided cohomology of quasi-triangular bialgebras and braided Morita invariance

Shota Inoue, Ayako Itaba

In this paper, we introduce the braided cochain complex and the braided cohomology of braided coalgebras in linear monoidal categories, and compare those of braided coalgebras livi…

math.RA2025

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights ( $n, m$ )

Ayako Itaba, Shu Minaki

Let $A = A (α, β)$ be a graded down-up algebra with weights $(deg x, deg y) = (n, m)$ and $β \neq = 0$ , and $\nabla A$ its Beilinson algebra. Such an algebra $A$ is a…

math.RA2025

Classifications of 3-dimensional cubic AS-regular algebras whose point schemes are not integral

Ayako Itaba, Masaki Matsuno, Yu Saito

By the result of Artin--Tate--Van den Bergh, every $3$ -dimensional cubic AS-regular algebra A can be expressed as a geometric algebra $A = A (E, σ)$ , where $E$ is either $\ma…

math.RA2023

Quantum projective planes and Beilinson algebras of $3$ -dimensional quantum polynomial algebras for Type S'

Ayako Itaba

Let $A = A (E, σ)$ be a $3$ -dimensional quantum polynomial algebra where $E$ is $P^{2}$ or a cubic divisor in $P^{2}$ , and $σ \in Aut_{k} E$ . Artin-T…

math.RA2022

Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras

Yuta Shiba, Katsunori Sanada, Ayako Itaba

Staic defined symmetric cohomology of groups and studied that the secondary symmetric cohomology group is corresponding to group extensions and the injectivity of the canonical map…

math.RA2020★ 4 cited

Quantum Projective Planes Finite over their Centers

Ayako Itaba, Izuru Mori

For a $3$ -dimensional quantum polynomial algebra $A = A (E, σ)$ , Artin-Tate-Van den Bergh showed that $A$ is finite over its center if and only if $∣ σ ∣ < \infty$ . Moreover, Art…

math.RA2019★ 10 cited

AS-regularity of geometric algebras of plane cubic curves

Ayako Itaba, Masaki Matsuno

Let $k$ be an algebraically closed field of characteristic $0$ and $A$ a graded $k$ -algebra finitely generated in degree $1$ . In this paper, for $3$ -dimensional quadratic AS-regula…

math.RT2019★ 1 cited

Hochschild cohomology related to graded down-up algebras with weights $(1, n)$

Ayako Itaba, Kenta Ueyama

Let $A = A (α, β)$ be a graded down-up algebra with $(deg x, deg y) = (1, n)$ and $β \neq = 0$ , and let $\nabla A$ be the Beilinson algebra of $A$ . If $n = 1$ , then a descriptio…

math.RA2018

Defining relations of 3-dimensional quadratic AS-regular algebras

Ayako Itaba, Masaki Matsuno

Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all $…

math.RT2018

Some infinitely generated non projective modules over path algebras and their extensions under Martin's Axiom

Ayako Itaba, Diego A. Mejia, Teruyuki Yorioka

In this paper it is proved that, when $Q$ is a quiver that admits some closure, for any algebraically closed field $K$ and any finite dimensional $K$ -linear representation $\mathca…

math.RT2014

On Hochschild cohomology of a self-injective special biserial algebra obtained by a circular quiver with double arrows

Ayako Itaba

We calculate the dimensions of the Hochschild cohomology groups of a self-injective special biserial algebra $Λ_{s}$ obtained by a circular quiver with double arrows. Moreover, we…

Robust Proportionality Axioms for Additive Utilities

Braided cohomology of quasi-triangular bialgebras and braided Morita invariance

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights (n,m)

Classifications of 3-dimensional cubic AS-regular algebras whose point schemes are not integral

Quantum projective planes and Beilinson algebras of 3-dimensional quantum polynomial algebras for Type S'

Symmetric cohomology and symmetric Hochschild cohomology of cocommutative Hopf algebras

Quantum Projective Planes Finite over their Centers

AS-regularity of geometric algebras of plane cubic curves

Hochschild cohomology related to graded down-up algebras with weights (1,n)

Defining relations of 3-dimensional quadratic AS-regular algebras

Some infinitely generated non projective modules over path algebras and their extensions under Martin's Axiom

On Hochschild cohomology of a self-injective special biserial algebra obtained by a circular quiver with double arrows

Hochschild cohomology of Beilinson algebras of graded down-up algebras with weights ( $n, m$ )

Quantum projective planes and Beilinson algebras of $3$ -dimensional quantum polynomial algebras for Type S'

Hochschild cohomology related to graded down-up algebras with weights $(1, n)$