algebra

Pronunciation Noun

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Pronunciation Noun

**algebra**

- (
*uncountable, mathematics*) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols. - (
*uncountable, medicine, historical, rare*) The surgical treatment of a dislocated or fractured bone. Also (*countable*): a dislocation or fracture. - (
*uncountable, mathematics*) The study of algebraic structures. - (
*countable, mathematics*) A universal algebra. - (
*countable, algebra*) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.- Synonyms: algebra over a field, algebra over a ring

- (
*countable, set theory, analysis*) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).- Synonyms: field of sets

- (
*countable, mathematics*) One of several other types of mathematical structure. - (
*figurative*) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.005