Definition:Subtraction/Ring
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Definition
Let $\struct {R, +, \circ}$ be a ring.
The operation of subtraction $a - b$ on $R$ is defined as:
- $\forall a, b \in R: a - b := a + \paren {-b}$
where $-b$ is the (ring) negative of $b$.
Sources
- 1964: Iain T. Adamson: Introduction to Field Theory ... (previous) ... (next): Chapter $\text {I}$: Elementary Definitions: $\S 2$. Elementary Properties
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $1$: Integral Domains: $\S 4$. Elementary Properties