Research Article

Prime ideals of nearness semirings

Volume: 68 Number: 2 August 1, 2019
EN

Prime ideals of nearness semirings

Abstract

The aim of this paper is to introduced the concept of prime (semiprime) ideals of nearness semiring theory and give some properties of such ideals.

Keywords

References

  1. Biswas, R. and Nanda, S. Rough groups and rough subgroups, Bull. Pol. AC. Math, 42, (1994), 251-254.
  2. Davvaz, B. Rough sets in a fundamental ring, Bull. Iranian Math. Soc, 24(2), (1998), 49-61.
  3. Davvaz, B. Roughness in rings, Inform. Sci, 164(1-4), (2004), 147-163.
  4. Golan, J. S. Semirings and Their Applications, Kluwer Academic Publishers, 1999.
  5. İnan, E. and Öztürk, M. A. Near groups on nearness approximation spaces, Hacet. J. Math. Stat, 41(4), (2012), 545--558.
  6. İnan, E. and Öztürk, M. A. Erratum and notes for near groups on nearness approximation spaces, Hacet. J. Math. Stat, 43(2), (2014), 279--281.
  7. İnan, E. and Öztürk, M. A. Near semigroups on nearness approximation spaces, Ann. Fuzzy Math. Inform, 10(2), (2015), 287--297.
  8. Iwinski, T. B. Algebraic approach to rough sets, Bull. Pol. AC. Math, 35, 1987, 673--683.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

December 21, 2018

Acceptance Date

January 23, 2019

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Öztürk, M. A., & Temur, İ. (2019). Prime ideals of nearness semirings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1867-1878. https://doi.org/10.31801/cfsuasmas.500382
AMA
1.Öztürk MA, Temur İ. Prime ideals of nearness semirings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1867-1878. doi:10.31801/cfsuasmas.500382
Chicago
Öztürk, Mehmet Ali, and İrfan Temur. 2019. “Prime Ideals of Nearness Semirings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1867-78. https://doi.org/10.31801/cfsuasmas.500382.
EndNote
Öztürk MA, Temur İ (August 1, 2019) Prime ideals of nearness semirings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1867–1878.
IEEE
[1]M. A. Öztürk and İ. Temur, “Prime ideals of nearness semirings”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1867–1878, Aug. 2019, doi: 10.31801/cfsuasmas.500382.
ISNAD
Öztürk, Mehmet Ali - Temur, İrfan. “Prime Ideals of Nearness Semirings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1867-1878. https://doi.org/10.31801/cfsuasmas.500382.
JAMA
1.Öztürk MA, Temur İ. Prime ideals of nearness semirings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1867–1878.
MLA
Öztürk, Mehmet Ali, and İrfan Temur. “Prime Ideals of Nearness Semirings”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1867-78, doi:10.31801/cfsuasmas.500382.
Vancouver
1.Mehmet Ali Öztürk, İrfan Temur. Prime ideals of nearness semirings. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1867-78. doi:10.31801/cfsuasmas.500382

Cited By

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

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