7 citations · 11 across the 6 of their papers we have counts for
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Periodic dimensions and some homological properties of eventually periodic algebras
Satoshi Usui
For an eventually periodic module, we have the degree and the period of its first periodic syzygy. This paper studies the former under the name \lq\lq periodic dimension\rq\rq. We…
Characterization of eventually periodic modules in the singularity categories
Satoshi Usui
The singularity category of a ring makes only the modules of finite projective dimension vanish among the modules, so the singularity category is expected to characterize a homolog…
Algebraic structure on Tate-Hochschild cohomology of a Frobenius algebra
Satoshi Usui
We study cup product and cap product in Tate-Hochschild theory for a finite dimensional Frobenius algebra. We show that Tate-Hochschild cohomology ring equipped with cup product is…
A Batalin-Vilkovisky structure on the complete cohomology ring of a Frobenius algebra
Tomohiro Itagaki, Katsunori Sanada, Satoshi Usui
We study the existence of a Batalin-Vilkovisky differential on the complete cohomology ring of a Frobenius algebra.We construct a Batalin-Vilkovisky differential on the complete co…