Should Abelian Be Capitalized in Mathematical Texts?

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SUMMARY

The capitalization of "Abelian" in mathematical texts is a topic of debate among mathematicians. While some, like the original poster, advocate for its capitalization out of respect for mathematician Niels Henrik Abel, others argue that it is often written in lowercase as part of an editorial convention. This practice aligns with the treatment of other scientific terms named after individuals, such as "kelvin" and "joule." The discussion highlights the evolving nature of language in mathematics and the significance of naming conventions.

PREREQUISITES
  • Understanding of mathematical terminology, specifically group theory.
  • Familiarity with editorial conventions in scientific writing.
  • Knowledge of notable mathematicians, particularly Niels Henrik Abel.
  • Awareness of the cultural significance of naming conventions in mathematics and science.
NEXT STEPS
  • Research the history and contributions of Niels Henrik Abel to mathematics.
  • Explore the concept of "Abelian groups" in group theory.
  • Investigate other mathematical terms that are commonly lowercased.
  • Learn about editorial standards in scientific publishing and their evolution.
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Mathematicians, educators, students of mathematics, and anyone interested in the conventions of mathematical terminology and the cultural implications of naming in science.

Mandelbroth
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I've always capitalized the word Abelian. Abel has always been one of my idols, and I've just seen it as the right thing to do, both in reverence of a mathematical prodigy and in proper use of the English language. However, I've gone back to review some algebra before attempting to learn some algebraic geometry, and a lot of people do not capitalize the word.

Is there a reason for this?
 
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Mandelbroth said:
Is there a reason for this?
Getting your name lowercased is an extreme honor in some branches of science and mathematics. For example, look at the units for temperature (kelvin), energy (joule) and magnetic flux (gauss). Mathematicians have gaussian distributions, boolean algebras, and of course abelian groups.
 
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D H said:
Getting your name lowercased is an extreme honor in some branches of science and mathematics. For example, look at the units for temperature (kelvin), energy (joule) and magnetic flux (gauss). Mathematicians have gaussian distributions, boolean algebras, and of course abelian groups.
I'd never thought of it that way. Thank you.
 

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