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math.RT2019★ 1 cited
Hochschild cohomology related to graded down-up algebras with weights
Ayako Itaba, Kenta Ueyama
Let be a graded down-up algebra with and , and let be the Beilinson algebra of . If , then a descriptio…
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 is a quiver that admits some closure, for any algebraically closed field and any finite dimensional -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 obtained by a circular quiver with double arrows. Moreover, we…