Gröbner bases of modules over sigma-PBW extensions

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Oswaldo Lezama¹  Haydee Jimenez¹ 

[1] Universidad de Sevilla and Universidad Nacional de Colombia

关键词: module of syzygies;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

For $sigma-PWB$ extensions, we extend to modules the theory of Gröbner bases of left ideals presented in [C. Gallego and O. Lezama. Gröbner bases for ideals of sigma-PBW extensions. Comm. Algebra, 39(1):50–75, 2011.] As an application, if $A$ is a bijective quasi-commutative $sigma-PWB$ extension, we compute the module of syzygies of a submodule of the free module $A^m$.

【 授权许可】

Unknown