A NOTE ON SOFT MODULES

Volume: 66 Number: 1 February 1, 2017
  • Canan Celep Yücel
  • Ummahan Acar
EN

A NOTE ON SOFT MODULES

Abstract

In this paper, essential soft submodule and complement of a softsubmodule in a soft module are defined. The basic properties of such softsubmodules are obtained. The notion of complement of soft submodules onsoft modules is introduced. The relations between this and direct summand ofsoft modules are investigated

Keywords

References

  1. Molodtsov, D., Soft Set Theory-First Results, Comput. Math. Appl. 37 (1999), 19-31.
  2. Jun, Y.B., Soft BCK/BCI-algebra, Comput. Math. Appl. 56 (2008), 1408-1413.
  3. Jun, Y.B. and Park, C.H., Application of soft sets in ideal theory of BCK-algebra, Information Sciences, 178 (2008), 2466-2475.
  4. Maji, P.K., Biswas, R. and Roy, A.R., Soft Set Theory, Comput. Math. Appl. 45 (2003), 562.
  5. Ali, M.I., Feng, F., Liu, X., Min, W.K. and Shabir, M., On some new operations in soft set theory, Comput. Math. Appl. 57 (2009), 1547-1553.
  6. Sezgin, A. and Atagün, A.O., On operations of soft sets, Comput. Math. Appl. 61 (2011), 1467.
  7. Ali, M.I., Shabir, M. and Naz, M., Algebraic structures of soft sets associated with new operations, Comput. Math. Appl. 61 (2011), 2647-2654.
  8. Aktas, H. and Çaµgman, N., Soft sets and soft groups, Information Sciences, 177 (2007), 2735.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Canan Celep Yücel This is me

Ummahan Acar This is me

Publication Date

February 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Celep Yücel, C., & Acar, U. (2017). A NOTE ON SOFT MODULES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 66-74. https://doi.org/10.1501/Commua1_0000000775
AMA
1.Celep Yücel C, Acar U. A NOTE ON SOFT MODULES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):66-74. doi:10.1501/Commua1_0000000775
Chicago
Celep Yücel, Canan, and Ummahan Acar. 2017. “A NOTE ON SOFT MODULES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 66-74. https://doi.org/10.1501/Commua1_0000000775.
EndNote
Celep Yücel C, Acar U (February 1, 2017) A NOTE ON SOFT MODULES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 66–74.
IEEE
[1]C. Celep Yücel and U. Acar, “A NOTE ON SOFT MODULES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 66–74, Feb. 2017, doi: 10.1501/Commua1_0000000775.
ISNAD
Celep Yücel, Canan - Acar, Ummahan. “A NOTE ON SOFT MODULES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 66-74. https://doi.org/10.1501/Commua1_0000000775.
JAMA
1.Celep Yücel C, Acar U. A NOTE ON SOFT MODULES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:66–74.
MLA
Celep Yücel, Canan, and Ummahan Acar. “A NOTE ON SOFT MODULES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 66-74, doi:10.1501/Commua1_0000000775.
Vancouver
1.Canan Celep Yücel, Ummahan Acar. A NOTE ON SOFT MODULES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):66-74. doi:10.1501/Commua1_0000000775

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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