Khoa Ta

collaborators

4 papers

math.RT2025

Bounding regularity of $VI^{m}$ -modules

Wee Liang Gan, Khoa Ta

Fix a finite field $F$ . Let $VI$ be a skeleton of the category of finite dimensional $F$ -vector spaces and injective $F$ -linear maps. We study $…

math.RT2025

Bounding regularity of $F I^{m}$ -modules

Wee Liang Gan, Khoa Ta

Let $F I$ be a skeleton of the category of finite sets and injective maps, and $F I^{m}$ the product of $m$ copies of $F I$ . We prove that if an $F I^{m}$ -module is generated in degree $\l…

math.RA2025

Homology of Rook-Brauer Algebras and Motzkin Algebras

Khoa Ta

Using the technique of inductive resolution introduced in arXiv:2303.07979, we prove that the homology of Rook-Brauer Algebra, interpreted as appropriate Tor-group, is isomorphic t…

math.RA2024

A noetherian criterion for sequences of modules

Wee Liang Gan, Khoa Ta

We prove a noetherian criterion for a sequence of modules with linear maps between them. This generalizes a noetherian criterion of Gan and Li for infinite EI categories. We apply…

Bounding regularity of VIm-modules

Bounding regularity of FIm-modules

Homology of Rook-Brauer Algebras and Motzkin Algebras

A noetherian criterion for sequences of modules

Bounding regularity of $VI^{m}$ -modules

Bounding regularity of $F I^{m}$ -modules