Definition: Commutativity

Let $(X,\ast)$ be an algebraic structure. The binary operation "$\ast$" is called commutative if $x\ast y=y\ast y$ holds for any two elements \(x,y\in X\).

Corollaries: 1

Chapters: 1 2 3 4 5
Corollaries: 6 7 8 9
Definitions: 10 11 12 13
Examples: 14
Explanations: 15
Motivations: 16
Parts: 17
Proofs: 18 19 20 21 22 23 24 25 26 27 28 29 30 31
Propositions: 32 33 34 35 36 37
Theorems: 38


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References

Bibliography

  1. Knauer Ulrich: "Diskrete Strukturen - kurz gefasst", Spektrum Akademischer Verlag, 2001
  2. Fischer, Gerd: "Lehrbuch der Algebra", Springer Spektrum, 2017, 4th Edition