prealgebra

Noun

prealgebra (countable and uncountable, plural prealgebras)

1. (US, uncountable) A school (in the US, middle school) course that introduces students to concepts needed to learn algebra.
   • 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.2000, Alfred S. Posamentier, Making Pre-Algebra Come Alive, Sage Publications (Corwin Press), page 1
   • 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.2002, Sally H. Spetz et al., REA's Practical Help for Pre-algebra, Research & Education Association, page 1
2. (countable) A particular form of Lie algebra; also applied analogously to other types of algebra.
   • 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.1985, Robert C. Flagg, “Church's Thesis is Consistent with Epistemic Arithmetic”, in Stewart Shapiro, editor, Intensional Mathematics, Elsevier Science Publishers, page 131
   • Let mathsf f:( mathsf A,α)→( mathsf B,β) be a morphism of prealgebras.2006, Oswald Wyler, Algebraic Theories of Continuous Lattices, Bernhard Banaschewski, Rudolf-Eberhard Hoffmann (editors), Continuous Lattices, Springer, Lecture Notes in Mathematics 871, page 398