Matrix ring

In abstract algebra, a matrix ring is any collection of matrices over some ring R that form a ring under matrix addition and matrix multiplication (Lam 1999). The set of n × n matrices with entries from R is a matrix ring denoted M_n(R), as well as some subsets of infinite matrices which form infinite matrix rings. Any subring of a matrix ring is a matrix ring.

单词	Ring of matrices
释义	Ring of matrices 英语百科 Matrix ring In abstract algebra, a matrix ring is any collection of matrices over some ring R that form a ring under matrix addition and matrix multiplication (Lam 1999). The set of n × n matrices with entries from R is a matrix ring denoted M_n(R), as well as some subsets of infinite matrices which form infinite matrix rings. Any subring of a matrix ring is a matrix ring.
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Ring of matrices

Matrix ring