I am looking at the quaternion, and it is said that this concept was invented by a man named 'William Rowan Hamilton' while taking a walk. And I looked the properties of this concept, it is quite similar to a ring.

So, the question that suddenly occurred to me was whether, from a historical perspective, it could be said that Emmy Noether was inspired by this quaternion and was able to create a new algebraic system called a ring.

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    $\begingroup$ Of course, she did, all algebraists knew quaternions. They started a whole industry of hypercomplex numbers in the 19th century, and Noether even wrote a paper about the latter in 1929. But rings were defined by Dedekind back in 1871, 11 years before she was born, and her inspirations were much more abstract, like Dedekind's theory of ideals. $\endgroup$
    – Conifold
    Nov 18 at 11:54
  • $\begingroup$ @Conifold Hello, today, your answers have been a great help to me. Thank you. $\endgroup$
    – pokssin
    Nov 18 at 12:09


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