Free Actions of Semiderivations on Semiprime Semirings


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Authors

  • R. Murugesan Department of Mathematics, Thiruvalluvar College, Papanasam, Tamilnadu, India
  • K. Kanak Sindhu Department of Mathematics, Dr.Mahalingam College of Engineering and Technology, Pollachi, Tamilnadu, India
  • P. Namasivayam Department of Mathematics, The M.D.T.Hindu College, Tirunelveli, Tamilnadu, India

Keywords:

Semiring, Prime semiring, Semiprime semiring, derivation, semiderivation, dependent element, free action

Abstract

Motivated by the study of Laradji and Taheem in $[1]$ in this paper we authors introduce the notion of dependent elements of semiderivations on semiprime semirings. Also in this paper we authors study and investigate dependent elements of semiderivations and proved that semiderivations and related mappings on semiprime semirings are free actions.

 

Author Biographies

R. Murugesan, Department of Mathematics, Thiruvalluvar College, Papanasam, Tamilnadu, India

 

 

K. Kanak Sindhu, Department of Mathematics, Dr.Mahalingam College of Engineering and Technology, Pollachi, Tamilnadu, India

 

 

P. Namasivayam, Department of Mathematics, The M.D.T.Hindu College, Tirunelveli, Tamilnadu, India

 

 

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Published

01-05-2016

How to Cite

R. Murugesan, K. Kanak Sindhu, & P. Namasivayam. (2016). Free Actions of Semiderivations on Semiprime Semirings. International Journal of Mathematics And Its Applications, 4(2 - A), 89–93. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1010

Issue

Vol. 4 No. 2 - A (2016)

Section

Research Article

License

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