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On the Quantum Spaces of Some Quadratic Regular Algebras of Global Dimension Four
(2016-05-10)
A quantum $\mathbb{P}^3$ is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well known that if a generic quadratic quantum ...
Twisting Systems and some Quantum P³s with Point Scheme a Rank-2 Quadric
(2022-05-18)
In 1996, J. J. Zhang introduced the concept of twisting a graded algebra by a twisting system, which generalizes the concept of twisting a graded algebra by an automorphism (the latter concept having been introduced in an ...