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A Note on Regularities of The Standard Quantized Matrix Algebra $M_q(n)$

Rings and Algebras 2023-07-26 v2

Abstract

Let Mq(n)M_q(n) be the standard quantized matrix algebra (introduced by Faddeev, Reshetikhin, and Takhtajan). It is shown that Mq(n)M_q(n) is Auslander regular, Cohen-Macaulay, Artin-Schelter regular, and a maximal order in its quotient division algebra.

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Cite

@article{arxiv.2112.13628,
  title  = {A Note on Regularities of The Standard Quantized Matrix Algebra $M_q(n)$},
  author = {Rabigul Tuniyaz},
  journal= {arXiv preprint arXiv:2112.13628},
  year   = {2023}
}

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9 pages