algebra vs division

algebra

noun
  • One of several other types of mathematical structure. 

  • 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. 

  • 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. 

  • 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). 

  • A universal algebra. 

  • The study of algebraic structures. 

  • The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture. 

  • A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols. 

division

noun
  • Each of the separate parts of something resulting from division. 

  • A calculation that involves this process. 

  • Any of the four major parts of a COBOL program source code. 

  • The act or process of dividing anything. 

  • A rank below kingdom and above class, particularly used of plants or fungi, also (particularly of animals) called a phylum; a taxon at that rank. 

  • A disagreement; a difference of viewpoint between two sides of an argument. 

  • A florid instrumental variation of a melody in the 17th and 18th centuries, originally conceived as the dividing of each of a succession of long notes into several short ones. 

  • A formation, usually made up of two or three brigades. 

  • A usually high-level section of a large company or conglomerate. 

  • A set of pipes in a pipe organ which are independently controlled and supplied. 

  • The process of dividing a number by another. 

  • A parliamentary constituency. 

  • A method by which a legislature is separated into groups in order to take a better estimate of vote than a voice vote. 

  • A lesson; a class. 

  • A concept whereby a common group of debtors are only responsible for their proportionate sum of the total debt. 

How often have the words algebra and division occurred in a corpus of books? (source: Google Ngram Viewer )