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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…