Definition:Multiple/Integer
< Definition:Multiple(Redirected from Definition:Multiple of Integer)
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Definition
Let $\Z$ denote the set of integers.
Let $x, y \in \Z$.
Let $x$ be a divisor of $y$.
Then $y$ is a multiple of $x$.
Also see
Sources
- 1951: Nathan Jacobson: Lectures in Abstract Algebra: Volume $\text { I }$: Basic Concepts ... (previous) ... (next): Introduction $\S 6$: The division process in $I$
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {IV}$: Rings and Fields: $24$. The Division Algorithm
- 1969: C.R.J. Clapham: Introduction to Abstract Algebra ... (previous) ... (next): Chapter $3$: The Integers: $\S 10$. Divisibility
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): Glossary
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): Glossary