Dictionary

prealgebra en · NOUN

Etymology

Etymology tree Proto-Indo-European *per- Proto-Indo-European *preh₂- Proto-Indo-European *-i Proto-Indo-European *préh₂i? Proto-Italic *prai Proto-Italic *prai- Latin prae-lbor. Middle English pre- English pre- Arabic جَبَرَ (jabara) Arabic الْجَبْر (al-jabr)bor. Medieval Latin algebrabor. English algebra English prealgebra From pre- + algebra.

Meanings

1. (US, uncountable) A school (in the US, middle school) course that introduces students to concepts needed to learn algebra.
   • 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. 2002, Sally H. Spetz et al., REA's Practical Help for Pre-algebra, Research & Education Association, page 1:
   • 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. 2011, Hal Torrance, Math Tutor: Pre-Algebra Skills, Mark Twain Media, 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:
   • 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. 2011, M. Dubois-Violette, G. Landi, “Lie prealgebras”, in Alain Connes et al., editors, Contemporary Mathematics 546: Noncommutative Geometry and Global Analysis: Conference in Honor of Henri Moscovici, American Mathematical Society, page 131:

Forms

Relateds

precalculus