Relative Reduction and Buchberger’s Algorithm in Filtered Free Modules
Sign Up to like & getrecommendations! Published in 2017 at "Mathematics in Computer Science"
DOI: 10.1007/s11786-017-0317-1
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,… read more here.
Keywords: algorithm; weyl algebras; free modules; filtered free ... See more keywords
Graded torsion-free ????????2(ℂ)-modules of rank 2
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498822502292
Abstract: In this paper, we explore the possibility of endowing simple infinite-dimensional [Formula: see text]-modules by the structure of graded modules. The gradings on the finite-dimensional simple modules over simple Lie algebras have been studied in… read more here.
Keywords: free modules; torsion free; graded torsion; modules rank ... See more keywords