areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative K-algebra A which is simple, and for which the center...

In abstract algebra, a branch of mathematics, a simple ring is a non-zero ring that has no two-sided ideal besides the zero ideal and itself. In particular...

A central simple algebra over K is a matrix algebra over a (finite-dimensional) division algebra with center K. For example, the central simple algebras...

k-algebra is central if its center is k and is simple if it is a simple ring. Since the center of a simple k-algebra is a field, any simple k-algebra is...

classification of finite simple groups says that most finite simple groups arise as the group G(k) of k-rational points of a simple algebraic group G over a finite...

contains a simple algebra. Simple group Simple ring Central simple algebra Lampe, W.A.; Taylor, W. (1982). "Simple algebras in varieties". Algebra Universalis...

quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes a matrix algebra by extending...

version for central simple algebras, as it appears in (Knapp 2007, p.115): Theorem: If A is a finite-dimensional central simple algebra over a field...

are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras. It was defined by the algebraist...

theory Degree of unsolvability in recursion theory Degree of a central simple algebra Degree of a permutation group, the number of elements that are permuted...