Trait AddGroup 

pub trait AddGroup:
    Add<Output = Self>
    + Sub<Output = Self>
    + Zero
    + Clone { }

Represents an Additive Group.

An additive group is a Group where the binary operation is addition (+).

Mathematical Definition

A set G is a group under addition if it satisfies:

1. Closure: a + b is in G. (Implicit in Rust).
2. Associativity: (a + b) + c = a + (b + c). (Implied by Add trait).
3. Identity Element: There is an element 0 such that a + 0 = a. (Provided by the Zero trait).
4. Inverse Element: For each a, there is an inverse -a such that a + (-a) = 0. (Provided by the Sub trait, which defines a - a).

The Clone bound is included for practical purposes within the Rust type system.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl<T> AddGroup for T

where T: Add<Output = T> + Sub<Output = T> + Zero + Clone,