Prealgebra

English

Alternative forms

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Etymology

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Noun

1. Template:Lb A school (in the US, middle school) course that introduces students to concepts needed to learn algebra.
   • 2000, Template:W, Making Pre-Algebra Come Alive, Template:W (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.

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2. Template:Lb A particular form of Lie algebra; also applied analogously to other types of algebra.
   • 1985, Robert C. Flagg, Church's Thesis is Consistent with Epistemic Arithmetic, Stewart Shapiro (editor), Intensional Mathematics, Elsevier Science Publishers, page 131,

     Conversely, if H is a complete preorder which satisfies the $\wedge ,\vee$-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, Template:W 871, page 398,

     Let $𝖿:(𝖠,\alpha )\to (𝖡,\beta )$ be a morphism of prealgebras.

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See also

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