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This is a list of possibly nonassociative algebras. An algebra is a module, wherein you can also multiply two module elements. (The multiplication in the module is compatible with multiplication-by-scalars from the base ring). *-algebra; Affine Lie algebra; Akivis algebra; Algebra for a monad; Albert algebra; Alternative algebra; AW*-algebra ...
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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.
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 (from Arabic: الجبر, romanized: al-jabr, lit. 'reunion of broken parts, bonesetting') is one of the broad areas of mathematics.Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols.
Sequences – ordered list of elements either finite or infinite; Systems of equations – finite set of equations; Vectors – element of a vector space; Matrix – two dimensional array of numbers; Vector space – basic algebraic structure of linear algebra; Field – algebraic structure with addition, multiplication and division
Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... Category of Eilenberg–Moore algebras; Kleisli category; Adjunction (field theory)