◀ ▲ ▶Branches / Algebra / Definition: Commutativity

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 \(x,y\in X\).

Table of Contents

Corollaries: 1

Mentioned in:

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

Thank you to the contributors under CC BY-SA 4.0!

Github:

References

Bibliography

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