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Some Soft Algebraic Structures

Year 2016, Volume: 5 Issue: 10, 38 - 51, 27.04.2016

Fatih Koyuncu Bekir Tanay

Abstract

Soft set theory was initiated by Molodtsov [9]. Then, Maji et al [8] defined some operations on soft sets. Akta¸s and C¸ aˇgman [2] defined soft groups and examined some related properties. Feng et al. [5] defined soft semirings. Acar et al. [1] defined soft rings and studied some of their properties In this study, we have defined soft fields and introduced some of their properties. Moreover, we have defined some kinds of ideals of soft rings and soft quotient rings.

Keywords

Soft sets Soft rings Soft fields Soft ideals Soft quotient rings

References

  • Acar U., Koyuncu F., Tanay B., Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
  • Aktas H., C¸ a˘gman N., Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  • Ali M. Irfan, Feng F., Liu Xiaoyan, Minc Won Keun, Shabir M., On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547-1553.
  • K. V. Babitha, J. J. Sunil, Soft set relations and functions, Comput. and Math. with Appl. 60 (2010) 1840-1849.
  • Feng F., Jun Y. B., Zhao X., Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • Hungerford Thomas W., Algebra, 1974, Springer-Verlag New York Inc.
  • Jun Y. B., Soft BCK/BCI-algebra, Comput. Math. Appl. 56 (2008) 1408-1413.
  • Maji P. K., Biswas R., Roy A. R. , Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
  • Molodtsov D., Soft set theory-first result, Comput. Math. Appl. 37 (1999) 19-31.
  • Sun Qiu-Mei, Zhang Zi-Liong, Liu Jing, Soft sets and soft modules, Lecture Notes in Comput. Sci. 5009 (2008) 403-409.

Year 2016, Volume: 5 Issue: 10, 38 - 51, 27.04.2016

Fatih Koyuncu Bekir Tanay

Abstract

References

  • Acar U., Koyuncu F., Tanay B., Soft sets and soft rings, Comput. Math. Appl. 59 (2010) 3458-3463.
  • Aktas H., C¸ a˘gman N., Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735.
  • Ali M. Irfan, Feng F., Liu Xiaoyan, Minc Won Keun, Shabir M., On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547-1553.
  • K. V. Babitha, J. J. Sunil, Soft set relations and functions, Comput. and Math. with Appl. 60 (2010) 1840-1849.
  • Feng F., Jun Y. B., Zhao X., Soft semirings, Comput. Math. Appl. 56 (2008) 2621-2628.
  • Hungerford Thomas W., Algebra, 1974, Springer-Verlag New York Inc.
  • Jun Y. B., Soft BCK/BCI-algebra, Comput. Math. Appl. 56 (2008) 1408-1413.
  • Maji P. K., Biswas R., Roy A. R. , Soft set theory, Comput. Math. Appl. 45 (2003) 555-562.
  • Molodtsov D., Soft set theory-first result, Comput. Math. Appl. 37 (1999) 19-31.
  • Sun Qiu-Mei, Zhang Zi-Liong, Liu Jing, Soft sets and soft modules, Lecture Notes in Comput. Sci. 5009 (2008) 403-409.
There are 10 citations in total.

Details

Journal Section Articles
Authors

Fatih Koyuncu

Bekir Tanay

Publication Date April 27, 2016
Published in Issue Year 2016 Volume: 5 Issue: 10

Cite

APA Koyuncu, F., & Tanay, B. (2016). Some Soft Algebraic Structures. Journal of New Results in Science, 5(10), 38-51.
AMA Koyuncu F, Tanay B. Some Soft Algebraic Structures. JNRS. February 2016;5(10):38-51.
Chicago Koyuncu, Fatih, and Bekir Tanay. “Some Soft Algebraic Structures”. Journal of New Results in Science 5, no. 10 (February 2016): 38-51.
EndNote Koyuncu F, Tanay B (February 1, 2016) Some Soft Algebraic Structures. Journal of New Results in Science 5 10 38–51.
IEEE F. Koyuncu and B. Tanay, “Some Soft Algebraic Structures”, JNRS, vol. 5, no. 10, pp. 38–51, 2016.
ISNAD Koyuncu, Fatih - Tanay, Bekir. “Some Soft Algebraic Structures”. Journal of New Results in Science 5/10 (February 2016), 38-51.
JAMA Koyuncu F, Tanay B. Some Soft Algebraic Structures. JNRS. 2016;5:38–51.
MLA Koyuncu, Fatih and Bekir Tanay. “Some Soft Algebraic Structures”. Journal of New Results in Science, vol. 5, no. 10, 2016, pp. 38-51.
Vancouver Koyuncu F, Tanay B. Some Soft Algebraic Structures. JNRS. 2016;5(10):38-51.


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