Huishi Li

activity

20062019

most citedA Constructive Characterization of Solvable Polynomial Algebras

4 citations · 14 across the 20 of their papers we have counts for

collaborators

20 papers

math.RA2019

Elimination Theory for Solvable Polynomial Algebras and Their Free Modules

Huishi Li

Let $K$ be a field, and $A = K [a_{1}, \dots, a_{n}]$ a solvable polynomial algebra in the sense of [K-RW, {\it J. Symbolic Comput.}, 9(1990), 1--26]. Based on the Gröbner basis theory fo…

math.RA2018

Graded Monomial Ordering for $N$ -graded and $N$ -filtered Solvable Polynomial Algebras of $(B, d ())$ -type

Huishi Li

Let $K$ be a field, and $A = K [a_{1}, \dots, a_{n}]$ a solvable polynomial algebra in the sense of [K-RW, {\it J. Symbolic Comput.}, 9(1990), 1--26]. It is shown that if $A$ is an $\math…

math.RA2016

An Elimination Lemma for Algebras with PBW Bases

Huishi Li

Let $K$ be a field, and $A = K [a_{1}, \dots, a_{n}]$ a finitely generated $K$ -algebra with the PBW $K$ -basis ${\cal B}=\{a_{1}^{α_1}\cdots a_{n}^{α_n}~|~(α_1,\ldots ,α_n)\in\mathbb{N}^n\…

math.RA2015

Notes on Gröbner Bases and Free Resolutions of Modules over Solvable Polynomial Algebras

Huishi Li

This text consists of five relatively systematic notes on Gröbner bases and free resolutions of modules over solvable polynomial algebras.

math.RA2014★ 2 cited

Computation of Minimal Filtered Free Resolutions over $N$ -Filtered Solvable Polynomial Algebras

Huishi Li

Let $A = K [a_{1}, \dots, a_{n}]$ be a weighted $N$ -filtered solvable polynomial algebra with filtration $F A = {F_{p} A}_{p \in N}$ , where solvable polynomial algebras are in…

math.RA2014★ 1 cited

Computation of Minimal Graded Free Resolutions over $N$ -Graded Solvable Polynomial Algebras

Huishi Li

It is shown that the methods and algorithms, developed in (A. Capani et al., Computing minimal finite free resolutions, {\it Journal of Pure and Applied Algebra}, (117& 118)(1997),…

Elimination Theory for Solvable Polynomial Algebras and Their Free Modules

Graded Monomial Ordering for N-graded and N-filtered Solvable Polynomial Algebras of (B,d( ))-type

An Elimination Lemma for Algebras with PBW Bases

Notes on Gröbner Bases and Free Resolutions of Modules over Solvable Polynomial Algebras

Computation of Minimal Filtered Free Resolutions over N-Filtered Solvable Polynomial Algebras

Computation of Minimal Graded Free Resolutions over N-Graded Solvable Polynomial Algebras

Graded Monomial Ordering for $N$ -graded and $N$ -filtered Solvable Polynomial Algebras of $(B, d ())$ -type

Computation of Minimal Filtered Free Resolutions over $N$ -Filtered Solvable Polynomial Algebras

Computation of Minimal Graded Free Resolutions over $N$ -Graded Solvable Polynomial Algebras