## 7.4 Mathematical background (plural)

This section introduces some of the mathematical notions and definitions used throughout the PLURAL manual. For details, please, refer to appropriate articles or text books (see References (plural)). A detailed discussion of the subjects in this section can be found in the doctoral thesis [LV] of V. Levandovskyy (see References (plural)).

All algebras are assumed to be associative -algebras for some field .

> 7.4.1 G-algebras |  |
> 7.4.2 Groebner bases in G-algebras |  |
> 7.4.3 Syzygies and resolutions (plural) |  |
> 7.4.4 References (plural) |  |

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