Johnson, FEA;
(2017)
Syzygies and Minimal Resolutions.
In:
Geometry in advanced pure mathematics.
(pp. 193-226).
World Scientific: Singapour, Singapour.
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Abstract
The essence of linear algebra over a field resides in the fact that every vector space is free; that is, has a spanning set of linearly independent vectors. The study of linear algebra over more general rings attempts to approximate this situation by the method of free resolutions. When a module M is not free we make a first approximation to its being free by taking a surjective homomorphism ∊ : F0 → M where F0 is free to obtain an exact sequence.
| Type: | Book chapter |
|---|---|
| Title: | Syzygies and Minimal Resolutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1142/9781786341082_0006 |
| Publisher version: | https://www.worldscientific.com/worldscibooks/10.1... |
| Language: | English |
| Additional information: | Copyright @ 2017 with permission from World Scientific Publishing Co. Pte. Ltd. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1527566 |
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