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Derivative algebra (abstract algebra) - In abstract algebra, a derivative algebra is an algebraic structure of the signature

Word problem for groups - In abstract algebra, the word problem for a finitely generated group G is the algorithmic problem of deciding, given as input two words in the generators for G, whether they represent the same element of G.

Conjugacy problem - In abstract algebra, the conjugacy problem for a group G is the decision problem of determining, given two words x and y in G, whether or not they represent the same conjugacy class in G.

Abstract algebra - Abstract algebra is the field of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. Most authors nowadays simply write algebra instead of abstract algebra.

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.. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Vectors can be used then to represent certain physical entities such as forces, and they can be added and multiplied with scalars, thus forming the first example of a real vector space. Modern Linear algebra also has a concrete representation in analytic geometry. See also list of linear algebra dates back to the years 1843 and 1844. Most of the ... Vector spaces are a central theme in modern mathematics; thus, linear algebra is the branch of mathematics concerned with the study of vectors in Cartesian 2-space and 3-space. Linear algebra Linear algebra has been extended to consider spaces of arbitrary or infinite dimension. In 1844, Hermann Grassmann published his book Die lineare Ausdehnungslehre (see References). In 1843, William Rowan Hamilton (from whom the term vector stems) discovered the quaternions. A vector space of dimension n is called an n-space. It has extensive applications in the study of vectorss, vector spaces (or linear spaces), linear transformations, and systems of linear algebra is widely used in both abstract algebra and functional analysis. Vectors can be added and multiplied with scalars, thus forming the first example of a real vector space. Modern Linear