◀ ▲ ▶Branches / Algebra / Definition: Zero Ring

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Definition: Zero Ring

A ring $(R, +,\cdot)$ is called a zero ring (or trivial ring), if

$$(R, +,\cdot)=(\{0\}, +,\cdot),$$ i.e. if it contains only the element $0$.

Mentioned in:

Definitions: 1 2
Proofs: 3 4 5
Propositions: 6

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References

Bibliography

1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013