Hideto Asashiba

collaborators

4 papers

math.RT2024

Interval Multiplicities of Persistence Modules

Hideto Asashiba, Enhao Liu

For any persistence module $M$ over a finite poset $P$ , and any interval $I$ of $P$ , we give a formula for the multiplicity $d_{M} (V_{I})$ of the interval module $V_I…

math.RT2024

Cohen-Montgomery duality for bimodules and singular equivalences of Morita type

Hideto Asashiba, Shengyong Pan

Let $G$ be a group and $k$ a commutative ring. All categories and functors are assumed to be $k$ -linear. We define a $G$ -invariant bimodule $_{S} M_{R}$ over $G$ -categories $R…

math.RT2024

Interval Replacements of Persistence Modules

Hideto Asashiba, Etienne Gauthier, Enhao Liu

We define two notions. The first one is a $r ank co m p r ess i o n sy s t e m$ $ξ$ for a finite poset $P$ that assigns each interval subposet $I$ to an order-preserving map $ξ_I \c…

math.RT2024

2-categorical approach to unifying constructions of precoverings and its applications

Rasool Hafezi, Hideto Asashiba, Mohammad Hossein Keshavarz

Throughout this paper $G$ is a fixed group, and $k$ is a fixed field. All categories are assumed to be $k$ -linear. First we give a systematic way to induce $G$ -precoverings by adjo…