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al·ge·bra  (ăl′jə-brə)n.1. A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.2. A set together with a pair of binary operations defined on the set. Usually, the set and the operations simultaneously form both a ring and a module.[Middle English, bone-setting, and Italian, algebra, both from Medieval Latin, from Arabic al-jabr (wa-l-muqābala), the restoration (and the compensation), addition (and subtraction) : al-, the + jabr, bone-setting, restoration (from jabara, to set (bones), force, restore; see gpr in Semitic roots).]al′ge·bra′ist (-brā′ĭst) n.