Associative rings and algebras Basic notions Concept
Unit of a ring
Summary
A unit of a ring is an element that has a multiplicative inverse in the ring. The definition of a unit states this precisely.
Where this leads
14 pages build on this one.
- Resolvent set
- Malgrange preparation theorem
- Weierstrass preparation theorem
- Spectrum of an element
- Ore localization
- Ring of convergent power series
- Classical ring of quotients
- Kaplansky's conjectures
- Multivariate formal power series
- Localization
- Localization of a space
- Local homomorphism
- Mather's stability theorem
- Local ring
Further reading
- Web https://en.wikipedia.org/wiki/Unit_(ring_theory), lead section
About this page
| Tag | 0XVEZDE9J8 |
|---|---|
| URI | m2://0XVEZDE9J8 |
| Aliases | invertible-element |
| Kind | concept |
| Writing | W1 stated |
| MSC | 16U60 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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