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math.RA2024
Hochschild cohomology of the quadratic monomial algebra
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 . Then ${\rm N}…
math.RA2020
Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring
Kazunori Nakamoto, Takeshi Torii
Let be the moduli of rank subalgebras of over . For , let be the…