Discuss situations in which checking the associativity of the multiplication is actually lame (for example, the multiplication in (Z/pZ)^×, see also exercise 4 of §1.1 of Dummit and Foote's book) and situations in which associativity is anything but obvious: for example, the addition on elliptic curves. Do you think you often have to check associativity? Please elaborate your answer if able, thank you in advance.
Discuss situations in which checking the associativity of the multiplication is actually lame (for example, the multiplication in (Z/pZ)^×, see also exercise 4 of §1.1 of Dummit and Foote's book) and situations in which associativity is anything but obvious: for example, the addition on elliptic curves. Do you think you often have to check associativity? Please elaborate your answer if able, thank you in advance.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discuss situations in which checking the associativity of the multiplication is actually lame (for example, the multiplication in (Z/pZ)^×, see also exercise 4 of §1.1 of Dummit and Foote's book) and situations in which associativity is anything but obvious: for example, the addition on elliptic curves. Do you think you often have to check associativity? Please elaborate your answer if able, thank you in advance.
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