Solvability of linear equations and rank-function

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In this paper, we consider an m × n regular matrix A over a commutative ring A (-a matrix whose range is direct summand of A m) and a necessary and sufficient condition in terms of determinantal rank is obtained for solvability of Ax = b. In the light of this result we define rank-function for matrices.

Original languageEnglish
Pages (from-to)297-302
Number of pages6
JournalCommunications in Algebra
Issue number1
Publication statusPublished - 1997


All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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