On the Dual Basis of Projective Semimodules and Its Applications

Authors

  • R. P. Deore Department of Mathematics, North Maharashtra University, Jalgaon, India
  • K. B. Patil Department of Mathematics, Jaihind College, Dhule, India

DOI:

https://doi.org/10.5644/SJM.01.2.02

Abstract

The dual basis lemma for projective semimodule over a semiring is proved. We show under which conditions the two categories $cs\, mod-R$ and $S-cs \,mod$ of cancellative semimodules are equivalent and how these equivalences are realized.

 

 

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References

F. De Mayer and E. Ingrahm, Separable Algebras over Commutative Rings, V-181, Springer - Verlag, New York, 1971.

J. S. Golan, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Sciences, (Pitman Monographs and Surveys in Pure and Applied Mathematics) 54, Harlow: Longman Scientific and Technical (1992).

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Published

12.06.2024

How to Cite

Deore, R. P., & Patil, K. B. (2024). On the Dual Basis of Projective Semimodules and Its Applications. Sarajevo Journal of Mathematics, 1(2), 161–169. https://doi.org/10.5644/SJM.01.2.02

Issue

Vol. 1 No. 2 (2005)

Section

Articles