2 Citations (Scopus)


In this paper, we invoke the theory of generalized inverses and the minus partial order on the study of regular matrices over a commutative ring to define rank–function for regular matrices and dimension–function for finitely generated projective modules which are direct summands of a free module. Some properties held by the rank of a matrix and the dimension of a vector space over a field are generalized. Also, a generalization of rank–nullity theorem has been established when the matrix given is regular.

Original languageEnglish
Article number11
Pages (from-to)144-155
Number of pages12
JournalElectronic Journal of Linear Algebra
Issue number1
Publication statusPublished - 22-10-2015

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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