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 \(0\).

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