The Journal of the Indian Mathematical Society

On Commutative Diagrams of Semimodules and K-Projective Semimodules


Affiliations

  • University of Delhi, Department of Mathematics, Kirorimal College, Delhi, 110 007, India
  • SAG, Metcalfe House, Delhi, 110054, India

Abstract

In this paper, we prove some results on commutative diagrams of semimodules analogous to module theory. We introduce the concept of k-projective semimodules and characterize them through factor semimodules.

Keywords

Semi Ring, Semi Module and K-Projective Semi Module.

Subject Discipline

Mathematical Sciences

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References

H. M. J. Al-Thani, k-projective semimodules, Kobe J. Maths., 13 (1996), 49–59.

J. S. Golan, The theory of semirings with application in mathematics and theoretical computer sciences, Pitman Monographs and Surveys in Pure and Applied Mathematics, 54, Longman Sci. Tech. Horlow, 1992.

M. R. Adhikari and P. Mukhophadhyay, Exact sequences of semimodules, Bull. Cal. Math. Soc., 94 (1) (2002), 23–32.


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