matrix ring
Смотреть что такое "matrix ring" в других словарях:
Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices … Wikipedia
Matrix theory — is a branch of mathematics which focuses on the study of matrices. Initially a sub branch of linear algebra, it has grown to cover subjects related to graph theory, algebra, combinatorics, and statistics as well.HistoryThe term matrix was first… … Wikipedia
Matrix algebra — may refer to: Matrix theory, is the branch of mathematics that studies matrices Matrix ring, thought of as an algebra over a field or a commutative ring This disambiguation page lists articles associated with the same title. If an … Wikipedia
Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia
Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
Matrix polynomial — Not to be confused with Polynomial matrix. In mathematics, a matrix polynomial is a polynomial with matrices as variables. Examples include: where P is a polynomial, and I is the identity matrix. the commutator … Wikipedia
Matrix (Mathematik) — Schema für eine allgemeine m×n Matrix In der Mathematik versteht man unter einer Matrix (Plural: Matrizen) eine rechteckige Anordnung (Tabelle) von Elementen bzw. mathematischen Objekten, mit denen man in bestimmter Weise rechnen kann (z. B … Deutsch Wikipedia
Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… … Wikipedia
Matrix group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K, usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n × n matrices over a commutative… … Wikipedia
Matrix — Gitter; Gefüge; Mikrostruktur; Struktur * * * ◆ Ma|trix 〈f.; , trị|zen od. tri|zes od. tri|ces〉 1. 〈Biol.〉 1.1 Mutterboden 1.2 Keimschicht der Haar … Universal-Lexikon
Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that … Wikipedia
