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The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. Outline of algebra; Glossary of field theory; Glossary of group theory; Glossary of linear algebra; Glossary of ring theory; List of abstract algebra topics; List of algebraic structures
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
They'd be wise not just to restrict themselves to this, but to step up to the list of lists and discover that (i) Boolean algebra is related to topics under both algebra and logic, (ii) see that there is a glossary of ring theory, (iii) see that Boolean algebra is related to commutative algebra and so take a look at the List of commutative ...
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .
An older name of Ricci calculus Absolute geometry Also called neutral geometry, [1] a synthetic geometry similar to Euclidean geometry but without the parallel postulate. [2] Abstract algebra The part of algebra devoted to the study of algebraic structures in themselves. [3] Occasionally named modern algebra in course titles. Abstract analytic ...