Rabigul Tuniyaz

most citedStructural Properties of The Quantized Matrix Algebra

D_{q} (n)

Established by Means of Gröbner-Shirshov Basis Theory

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.RA2022

The Standard Quantized Matrix Algebra $M_{q} (n)$ is A Solvable Polynomial Algebra

Rabigul Tuniyaz

Let $M_{q} (n)$ be the standard quantized matrix algebra, introduced by Faddeev, Reshetikhin, and Takhtajan. It is shown, by constructing an appropriate monomial ordering $≺$ on i…

math.RA2022

On The Algebras $U_{q}^{\pm} (A_{N})$ : From A Constructive-Computational Viewpoint

Rabigul Tuniyaz

Let $U_{q}^{+} (A_{N})$ (resp. $U_{q}^{-} (A_{N})$ ) be the $(+)$ -part (resp. $(-)$ -part) of the Drinfeld-Jimbo quantum group of type $A_{N}$ over a field $K$ . With respect to Jimbo relations and t…

math.RA2022

Generalized Down-up Algebras Revisited from A Viewpoint of Gröbner Basis Theory

Rabigul Tuniyaz, Gulshadam Yunus

The so called generalized down-up algebras are revisited from a viewpoint of Gröbner basis theory. Particularly it is shown explicitly that generalized down-up algebras are solvabl…

math.RA2022★ 1 cited

Structural Properties of The Quantized Matrix Algebra $D_{q} (n)$ Established by Means of Gröbner-Shirshov Basis Theory

Lina Niu, Rabigul Tuniyaz

Let $D_{q} (n)$ be the quantized matrix algebra introduced by Dipper and Donkin. It is shown that some structural properties of $D_{q} (n)$ and their modules may be established and reali…

math.RA2021

A Note on Regularities of The Standard Quantized Matrix Algebra $M_{q} (n)$

Rabigul Tuniyaz

Let $M_{q} (n)$ be the standard quantized matrix algebra (introduced by Faddeev, Reshetikhin, and Takhtajan). It is shown that $M_{q} (n)$ is Auslander regular, Cohen-Macaulay, Artin-Sch…

The Standard Quantized Matrix Algebra Mq​(n) is A Solvable Polynomial Algebra

On The Algebras Uq±​(AN​): From A Constructive-Computational Viewpoint

Generalized Down-up Algebras Revisited from A Viewpoint of Gröbner Basis Theory

Structural Properties of The Quantized Matrix Algebra Dq​(n) Established by Means of Gröbner-Shirshov Basis Theory

A Note on Regularities of The Standard Quantized Matrix Algebra Mq​(n)

The Standard Quantized Matrix Algebra $M_{q} (n)$ is A Solvable Polynomial Algebra

On The Algebras $U_{q}^{\pm} (A_{N})$ : From A Constructive-Computational Viewpoint

Structural Properties of The Quantized Matrix Algebra $D_{q} (n)$ Established by Means of Gröbner-Shirshov Basis Theory

A Note on Regularities of The Standard Quantized Matrix Algebra $M_{q} (n)$