Tomohiro Itagaki

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20172026

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math.RA2024

Hochschild cohomology of the quadratic monomial algebra $N_{m}$

Tomohiro Itagaki, Kazunori Nakamoto, Takeshi Torii

Let ${\rm N}_m(R) = \{ (a_{ij}) \in {\rm M}_m(R) \mid a_{11} = a_{22} = \cdots = a_{mm} \mbox{ and } a_{ij} = 0 \mbox{ for any } i > j \}$ for a commutative ring $R$ . Then ${\rm N}…

math.RA2017

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

Hideyuki Koie, Tomohiro Itagaki, Katsunori Sanada

Let $T$ be a Hochschild extension algebra of a finite dimensional algebra $A$ over a field $K$ by the standard duality $A$ -bimodule $Hom_{K} (A, K)$ . In this paper, we determin…

Hochschild cohomology of the quadratic monomial algebra Nm​

The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

Hochschild cohomology of the quadratic monomial algebra $N_{m}$