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On a decomposition of square matrices over a ring with identity. (English) Zbl 1060.15506

Summary: We consider the module that is spanned by the permutation matrices over some (not necessarily commutative) ring. We provide recursive procedures for obtaining a basis for this module consisting of permutation matrices, and for certain submodules.

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
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