4 papers
Homological conditions on locally gentle algebras
S. Ford, A. Oswald, J. J. Zhang
Gentle algebras are a class of special biserial algebras whose representation theory has been thoroughly described. In this paper, we consider the infinite dimensional generalizati…
Ideals of the associative algebra operad
Y. -H. Bao, J. -N. Xu, Y. Ye +2
We prove a one-to-one correspondence between the operadic ideals of the operad $\As$ and -ideals. As a consequence, we show that $\As$ is noetherian and that every proper operad…
Frobenius-Perron Theory of Representations of Quivers
J. J. Zhang, J. -H. Zhou
The Frobenius-Perron theory of an endofunctor of a category was introduced in recent years [12, 13]. We apply this theory to monoidal (or tensor) triangulated structures of quiver…
Auslander's Theorem for group coactions on noetherian graded down-up algebras
J. Chen, E. Kirkman, J. J. Zhang
We prove a version of a theorem of Auslander for finite group coactions on noetherian graded down-up algebras.