Photo from wikipedia
In this paper we develop a relative Gröbner basis method for a wide class of filtered modules. Our general setting covers the cases of modules over rings of differential, difference,… Click to show full abstract
In this paper we develop a relative Gröbner basis method for a wide class of filtered modules. Our general setting covers the cases of modules over rings of differential, difference, inversive difference and difference–differential operators, Weyl algebras and multiparameter twisted Weyl algebras (the last class of rings includes the classes of quantized Weyl algebras and twisted generalized Weyl algebras). In particular, we obtain a Buchberger-type algorithm for constructing relative Gröbner bases of filtered free modules.
Keywords:
algorithm;
weyl algebras;
free modules;
filtered free;
reduction buchberger;
relative reduction
Journal Title: Mathematics in Computer Science
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematics in Computer Science
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!