prealgebra

Definitions

1. A school (in the US, middle school) course that introduces students to concepts needed to learn algebra.
   US, uncountable
2. A particular form of Lie algebra; also applied analogously to other types of algebra.
   countable

Examples

“2000, Alfred S. Posamentier, Making Pre-Algebra Come⟳ Alive, Sage Publications (Corwin Press⟳), page 1, In most secondary school curricula, pre-algebra is the last⟳ course in which specific attention is paid to multiplication, division, squares, cubes, and primes. Thereafter, these skills and operations are pretty much taken for granted.”

“Almost everyone pursuing a career or a course of study⟳ needs to know⟳ pre-algebra math. Also, almost all college entrance tests and professional exams require⟳ knowledge of at least pre-algebra math. The practicing of almost all crafts involves the use⟳ of pre-algebra math.”

“Pre-algebra is considered to be something of a terminal arithmetic course. What this means for the student is that pre-algebra is a course that links many topics together before the student proceeds to more abstract mathematics courses.”

“Conversely, if H is a complete⟳ preorder which satisfies the #92;land⟳,#92;lor-distributive law, then, by the Adjoint Functor Theorem, H is a Heyting prealgebra.”

“2006, Oswald Wyler, Algebraic Theories of Continuous Lattices, Bernhard Banaschewski, Rudolf-Eberhard Hoffmann (editors), Continuous Lattices, Springer, Lecture⟳ Notes in Mathematics 871, page 398, Let⟳ mathsf f:( mathsf A,α)→( mathsf B,β) be a morphism of prealgebras.”

“It turns out that the duality of Theorem 6 restricts as a duality between Lie⟳ prealgebras and the category of differential quadratic Koszul Frobenius algebras.”

CEFR level