Definition:Algebra over Field/Also known as
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Algebra over Field: Also known as
Other terms for an algebra over a field include:
- a linear algebra
- a hypercomplex number system
- an associative algebra, but that term is usually applied to something more specific.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.26$: Extensions of the Complex Number System. Algebras, Quaternions, and Lagrange's Four Squares Theorem
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): linear algebra: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): linear algebra: 2.