BibTex RIS Kaynak Göster

Some Soft Algebraic Structures

Yıl 2016, Cilt: 5 Sayı: 10, 38 - 51, 27.04.2016

Fatih Koyuncu Bekir Tanay

Öz

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.

Anahtar Kelimeler

Soft sets Soft rings Soft fields Soft ideals Soft quotient rings

Kaynakça

  • 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.

Yıl 2016, Cilt: 5 Sayı: 10, 38 - 51, 27.04.2016

Fatih Koyuncu Bekir Tanay

Öz

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Fatih Koyuncu

Bekir Tanay

Yayımlanma Tarihi 27 Nisan 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 5 Sayı: 10

Kaynak Göster

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. Şubat 2016;5(10):38-51.
Chicago Koyuncu, Fatih, ve Bekir Tanay. “Some Soft Algebraic Structures”. Journal of New Results in Science 5, sy. 10 (Şubat 2016): 38-51.
EndNote Koyuncu F, Tanay B (01 Şubat 2016) Some Soft Algebraic Structures. Journal of New Results in Science 5 10 38–51.
IEEE F. Koyuncu ve B. Tanay, “Some Soft Algebraic Structures”, JNRS, c. 5, sy. 10, ss. 38–51, 2016.
ISNAD Koyuncu, Fatih - Tanay, Bekir. “Some Soft Algebraic Structures”. Journal of New Results in Science 5/10 (Şubat 2016), 38-51.
JAMA Koyuncu F, Tanay B. Some Soft Algebraic Structures. JNRS. 2016;5:38–51.
MLA Koyuncu, Fatih ve Bekir Tanay. “Some Soft Algebraic Structures”. Journal of New Results in Science, c. 5, sy. 10, 2016, ss. 38-51.
Vancouver Koyuncu F, Tanay B. Some Soft Algebraic Structures. JNRS. 2016;5(10):38-51.


EBSCO 30456

Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).