Gröbner bases of modules over sigma-PBW extensions

Published 30 Jan 2015 in math.RA | (1501.07882v1)

Abstract: For sigma-PWB extensions, we extend to modules the theory of Gr\"obner bases of left ideals presented in [5]. 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.

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