| algebra | |
| 1. n. (mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols. | |
| 2. n. (medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also : a dislocation or fracture. | |
| 3. n. (mathematics) The study of algebraic structures. | |
| 4. n. (mathematics) A universal algebra. | |
| 5. n. (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) addi | |
| Synonyms: algebra over a field, algebra over a ring | |
| 6. n. (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 inter | |
| Synonyms: field of sets | |
| 7. n. (mathematics) One of several other types of mathematical structure. | |
| 8. n. (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. | |
