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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 ...
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.
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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.
List of mathematical topics in classical mechanics; List of textbooks on classical mechanics and quantum mechanics; Classification of low-dimensional real Lie algebras; List of cohomology theories; List of combinatorial computational geometry topics; Index of combinatorics articles; Outline of combinatorics; List of commutative algebra topics
Fundamental theorem of algebra – states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.
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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 ...