Definition:Smallest Element/Also known as

Smallest Element: Also known as

The smallest element of a collection is also called:

• The least element
• The lowest element (particularly with numbers)
• The first element
• The minimum element (but beware confusing with minimal)
• The null element (in the context of boolean algebras and boolean rings)

Sources

• 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 14$: Order
• 1968: A.N. Kolmogorov and S.V. Fomin: Introductory Real Analysis ... (previous) ... (next): $\S 3.5$: Well-ordered sets. Ordinal Numbers: Definition $1$
• 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 7$
• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: $\S 2.7$: Maximum and Minimum
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): null element
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): null element