Is it called ring because of a clock?

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SUMMARY

The term "ring" in mathematics is derived from the circular structure of modular arithmetic, specifically Z/(n), where numbers are arranged in a cyclical manner akin to a clock face. This visualization aligns with the concept of algebraic structures that exhibit ring properties. The discussion highlights the historical context of ring theory, referencing the article "From numbers to rings: the early history of ring theory," which provides deeper insights into the evolution of this mathematical concept.

PREREQUISITES
  • Understanding of modular arithmetic, specifically Z/(n)
  • Familiarity with basic algebraic structures
  • Knowledge of ring theory fundamentals
  • Ability to interpret mathematical history and terminology
NEXT STEPS
  • Read "From numbers to rings: the early history of ring theory"
  • Explore the properties of algebraic structures in ring theory
  • Investigate the applications of modular arithmetic in computer science
  • Study advanced topics in ring theory, such as ideals and homomorphisms
USEFUL FOR

Mathematicians, students of abstract algebra, and anyone interested in the historical development of mathematical concepts, particularly in ring theory and modular arithmetic.

algebrat
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Hi, does anyone know why they call a ring a ring. Was it because of Z/(n), where the numbers sort of form a ring in sense? I'm visualizing Z/(n) as a circle like 1 thru 12 on a clock. Or {0,1,2,...,11} if you prefer.
 
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I think I answered my own question, it looks like I was close to right, though it may be more accurate that they saw the rings with algebraic numbers blah blah. Along the way, I found a nice article on the history of rings, which includes some algebras, a topic which I have been trying to add to my impressions of "algebra" proper.


the article is:

From numbers to rings: the early history of ring theory.

and some links are offered at

http://math.stackexchange.com/questions/362/history-of-the-concept-of-a-ring/915#915
 

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