Associative rings and algebras Basic notions Concept
Zero divisor
Summary
A zero divisor of a ring is an element that gives zero when you multiply it by some nonzero element. The definition of a zero divisor gives the precise condition.
Where this leads
12 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Zero_divisor, lead section
About this page
| Tag | 0NNRDW10RZ |
|---|---|
| URI | m2://0NNRDW10RZ |
| Kind | concept |
| Writing | W1 stated |
| MSC | 16U99 |
| 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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What links here
Definitions
Used by
- Regular sequence
- Ore condition
- Total ring of fractions
- Classical ring of quotients
- Hilbert–Burch theorem
- Regular chain
- Kaplansky's conjectures
- Kaplansky's zero divisor conjecture
- Convolution ring has no zero divisors
- Torsion submodule
- Group ring