Algebra Intermediate Outline Schaums
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Derivative algebra (abstract algebra) - In abstract algebra, a derivative algebra is an algebraic structure of the signature
Quaternion algebra - In mathematics, a quaternion algebra over a field F is a particular kind of central simple algebra A over F, namely such an algebra that has dimension 4, and therefore becomes the 2×2 matrix algebra over some field extension of F, by extending scalars. The classical quaternions are the case of F the real number field, and ...
Sigma-algebra - In mathematics, a σ-algebra (pronounced sigma-algebra) or σ-field over a set X is a collection Σ of subsets of X that is closed under countable set operations, meaning that the complement of a member, and the union or the intersection of countably many members of the ...
Representation of a Hopf algebra - In abstract algebra, a representation of a Hopf algebra is a representation of the underlying associative algebra of a Hopf algebra. That is, a representation of a Hopf algebra H over a field K is a K-vector space V with an action H × V → V usually denoted ...
