Ayako Itaba

activity

20182026

collaborators

4 papers

math.QA2026

Braided cohomology of quasi-triangular bialgebras and braided Morita invariance

Shota Inoue, Ayako Itaba

We introduce the braided cochain complex and the braided cohomology of braided coalgebras in linear monoidal categories, and compare the braided cohomology of braided coalgebras li…

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.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…

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

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

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