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- Matrix_ring abstract "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 which form infinite matrix rings. Any subrings of these matrix rings are also called matrix rings.In the case when R is a commutative ring, then the matrix ring Mn(R) is an associative algebra which may be called a matrix algebra. In this situation, if M is a matrix and r is in R, then the matrix Mr is the matrix M with each of its entries multiplied by r. It is assumed throughout that R is an associative ring with a unit 1 ≠ 0, although matrix rings can be formed over rings without unity.".
- Matrix_ring wikiPageID "487541".
- Matrix_ring wikiPageRevisionID "597296227".
- Matrix_ring hasPhotoCollection Matrix_ring.
- Matrix_ring subject Category:Algebraic_structures.
- Matrix_ring subject Category:Matrix_theory.
- Matrix_ring subject Category:Ring_theory.
- Matrix_ring type AlgebraicStructures.
- Matrix_ring type Artifact100021939.
- Matrix_ring type Object100002684.
- Matrix_ring type PhysicalEntity100001930.
- Matrix_ring type Structure104341686.
- Matrix_ring type Whole100003553.
- Matrix_ring type YagoGeoEntity.
- Matrix_ring type YagoPermanentlyLocatedEntity.
- Matrix_ring comment "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 which form infinite matrix rings. Any subrings of these matrix rings are also called matrix rings.In the case when R is a commutative ring, then the matrix ring Mn(R) is an associative algebra which may be called a matrix algebra.".
- Matrix_ring label "Matrix ring".
- Matrix_ring label "Matrixring".
- Matrix_ring label "Matrizenring".
- Matrix_ring label "矩阵环".
- Matrix_ring sameAs Maticový_okruh.
- Matrix_ring sameAs Matrizenring.
- Matrix_ring sameAs Matrixring.
- Matrix_ring sameAs m.02gf1s.
- Matrix_ring sameAs Q2915729.
- Matrix_ring sameAs Q2915729.
- Matrix_ring sameAs Matrix_ring.
- Matrix_ring wasDerivedFrom Matrix_ring?oldid=597296227.
- Matrix_ring isPrimaryTopicOf Matrix_ring.