Gröbner bases and syzygies on bimodules

Details Gröbner bases and syzygies on bimodules Gröbner bases and syzygies on bimodules

2004-05-28

arxiv.org/abs/math/0405550v1

Mathematics

Rings and Algebras

14 pages, 4 algorithms, submitted to J. Symb. Comput

Scientific paper

We propose a new more efficient method for the computation of two-sided
Gr\"obner bases of ideals and bimodules shifting the problem to the enveloping
algebra. Arising from the ideas this method involves, we introduce the notion
of two-sided syzygy, which reveals to be useful in the computation of the
intersection of bimodules. Further applications are left for a sequel.

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