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

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7 papers · 1 filter

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.RA2018

Defining relations of 3-dimensional quadratic AS-regular algebras