I've found Dedekind referenced as the progenitor of the concept but I cannot find the source for the concept.
2025-01-13 02:47:20.1736736440
Does anyone know when/in what work Dedekind introduced the concept of a Euclidean domain?
37 Views Asked by William Bell https://math.techqa.club/user/william-bell/detail AtRelated Questions in MATH-HISTORY
- Why is variable called "variable" in mathematics if in fact it's immutable?
- How to convert Roman numerals with dashes?
- Euler's derivation of e?
- On a curve every point of which is a point of ramification
- What exactly did Hermann Weyl mean?
- Mathematical texts: white background or tan
- Meaning of notation with two letters inside of parentheses [binomial coefficient]
- Who invented the notation $Df$ for the derivative?
- Where did the angle convention originate?
- What did Hilbert actually want for his second problem?
Related Questions in EUCLIDEAN-DOMAIN
- Examples of nonstandard Euclidean functions on Euclidean domain
- Euclidean Domain, Associates
- Short inequality proof on $\mathbb{Z}[\sqrt{-2}]$
- Division in $\mathbb{Z}[i]$
- Motivation of the definition of Euclidean Domain
- Number of invertible elements in quotient ring
- Prove that $R=\mathbb{Z}[i]$ is a Euclidean domain via $N(a+bi) = a^2+b^2. $
- Prove that $\mathbb{Z}[\sqrt{-2}]$ is a Euclidean domain and $\mathbb{Z}[\sqrt{-10}]$ is not
- Does anyone know when/in what work Dedekind introduced the concept of a Euclidean domain?
- Proving rationals of the form $2^{-n}m$ are a Euclidean ring
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity