8 citations · 18 across the 5 of their papers we have counts for
4 papers · 1 filter
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.
Connected Hopf algebras and iterated Ore extensions
K. A. Brown, S. O'Hagan, J. J. Zhang +1
We investigate when a skew polynomial extension T = R[x; σ, δ] of a Hopf algebra R admits a Hopf algebra structure, substantially generalising a theorem of Panov. When this constru…