Also known as ring of matrices
ring of all matrices of fixed size
In the Vinony graph
Within Vinony's link graph, 矩阵环 is referenced by 121 other articles, and connects out to ideal, semiring and Morita equivalence.
Vinony files it under Algebraic structures, Matrix theory and Ring theory.
Its subject is documented across 10 Wikipedia language editions.
Wikidata facts
- Subclass of
- algebra over a ring
Show 3 more facts
- different from
- matrix theory
- has operation
- matrix multiplication
- studied by
- commutative algebra
Sources (2)
via Wikidata · CC0
Article · 中文
矩阵环就是考慮矩阵在環R下經由矩阵加法和矩阵乘法形成的环，從環R中的元素組成的n×n 方阵形成的矩陣環記作Mn(R)，某些无限阶矩阵也可以組成无限矩阵环，任何矩阵环的子环也都是矩陣环。如 R是一个交换环，则矩阵环Mn(R)是一个结合代数，被称为。在这种情况下，如果 M是一个矩阵， r∈ R，那么矩阵Mr也是矩阵，其矩陣元為M的矩陣元乘r。 這篇文章假设R是可結合環且单位1≠0（单位1=0的只有零环)，虽然没有单位也可以形成矩陣環。
Abstract from DBpedia / Wikipedia · CC BY-SA
Available in 10 languages
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Connections
ideal
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semiring
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Morita equivalence
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International Standard Book Number
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complex number
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linear algebra
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digital object identifier
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matrix
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abstract algebra
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William Rowan Hamilton
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ring
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Hilbert space
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basis
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identity matrix
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identity element
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Jean-Pierre Serre
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binary relation
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square matrix
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transpose matrix
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diagonal matrix
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