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A note on generic Clifford algebras of binary cubic forms
Linhong Wang, Xingting Wang
We study the representation theoretic results of the binary cubic generic Clifford algebra , which is an Artin-Schelter regular algebra of global dimension five. In par…
Nonsplit module extensions over the one-sided inverse of k[x]
Zheping Lu, Linhong Wang, Xingting Wang
Let be the associative -algebra generated by two elements and with defining relation . A complete description of simple modules over is obtained by using t…
Poisson Dixmier-Moeglin equivalence from a topological point of view
Juan Luo, Xingting Wang, Quanshui Wu
In this paper, we provide some topological criteria for the Poisson Dixmier-Moeglin equivalence for in terms of the poset and the symplectic leaf…
The Zariski cancellation problem for Poisson algebras
Jason Gaddis, Xingting Wang
We study the Zariski cancellation problem for Poisson algebras asking whether implies when and are Poisson algebras. We resolve this affirmative…
The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra
Jason Bell, Xingting Wang, Daniel Yee
Let be a field and let be a left noetherian -algebra. The algebra satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations are pr…
Finite generation of some cohomology rings via twisted tensor product and Anick resolutions
Van C. Nguyen, Xingting Wang, Sarah Witherspoon
Over a field of prime characteristic , we prove that the cohomology rings of some pointed Hopf algebras of dimension are finitely generated. These are Hopf algebras aris…