Category theory; homological algebra Representability and the Yoneda lemma Concept
Zero object
Summary
A zero object of a category is an object that is both initial and terminal. Categories with a zero object, such as groups, modules and pointed sets, have a distinguished zero morphism between any two objects. This is the starting point for kernels, cokernels and exact sequences in homological algebra.
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About this page
| Tag | AQET9YHH6F |
|---|---|
| URI | m2://AQET9YHH6F |
| Kind | concept |
| Writing | W0 stub |
| MSC | 18A30, 18A20 |
| Specializes | Initial and terminal objects |
| Changed | 2 November 2026 |
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