Field math：MAT 240

abstract algebra

https://math.stackexchange.com

So the short answer to your question is: a field is an algebraic structure on a set which allows us to make sense of addition, subtraction, ...

Field (mathematics)

https://en.wikipedia.org

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on ...

Field (mathematics)

https://simple.wikipedia.org

A field is a ring (so it follows the rules above), with these extra rules: Commutativity of multiplication: When multiplication is done, ...

Field

https://mathworld.wolfram.com

A field is any set of elements that satisfies the field axioms for both addition and multiplication and is a commutative division algebra.

Field Definition (expanded)

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Field in Mathematics

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A field is, roughly speaking, a number system in which it makes sense to add, subtract, multiply, divide, and exponentiate numbers. Formally, a ...

Fields

https://brilliant.org

Fields are useful in forming the scalars in a given vector space; for instance, polynomials can draw coefficients from the field of real numbers, but also may ...

Finite field

https://en.wikipedia.org

Finite fields are fundamental in a number of areas of mathematics and computer science, including number theory, algebraic geometry, Galois theory, finite ...