Let k be an integer greater than or equal to 2. The ring R is said to be k-good if every element of R is the sum of k invertible elements of R. We have showed that the ring of formal row-finite matrices will be k-good if all rings from its main diagonal are k-good. Some applications of this result are given, in particular, to the problem of k-goodness of the ring of endomorphisms of decomposable module or Abelian group.
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