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On weakly completely quasi primary and completely quasi primary ideals in ternary semirings

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In this investigation we studied completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Some characterizations of completely quasi primary and weakly completely quasi primary ideals were obtained. Moreover, we investigated relationships between completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Finally, we obtained necessary and sufficient conditions for a weakly completely quasi primary ideal to be a completely quasi primary ideal.

Abstract

In this investigation we studied completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Some characterizations of completely quasi primary and weakly completely quasi primary ideals were obtained. Moreover, we investigated relationships between completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Finally, we obtained necessary and sufficient conditions for a weakly completely quasi primary ideal to be a completely quasi primary ideal.

참고문헌 (21)

  1. S. Bashir, "Pure ideals in ternary semigroups", Quasigroups Related Sys-tems, 17(2), pp.149~160 (2009)
  2. S. K. Bhambri, "On prime, weakly prime left ideals and weakly regular ternary semirings", Southeast Asian Bull. Math, 37(6), pp.801~811 (2013)
  3. T. Changphas, "m-systems and n-systems in ordered ternary semigroups", Gen. Math. Notes, 7(2), pp.59~62 (2011)
  4. T. Changphas, "On maximal ideals in ternary semigroups", Int. J. Pure Appl. Math, 92(1), pp.133~139 (2014)
  5. P. Choosuwan, "A study on quasi-ideals in ternary semigroups", Int. J. Pure Appl. Math, 77(5), pp.639~647 (2012)
  6. V. N. Dixit, "A note on quasi and bi-ideals in ternary semigroup", Int. J. Math. Math. Sci, 18(3), pp.501~508 (1995)
  7. V. N. Dixit, "Minimal quasi-ideals in ternary semigroup", Indian J. Pure Appl. Math, 28(5), pp.625~632 (1997)
  8. T. K. Dutta, "On regular ternary semirings: Advances in Algebra", Proceed-ings of the ICM Satellite Conference in Algebra and Related Topics, pp.343~355 (2003), World Scientific
  9. T. K. Dutta, "On prime ideals and prime radical of ternary semirings", Bull. Calcutta Math. Soc, 97(5), pp.445~454 (2005)
  10. T. K. Dutta, "On ideals in regular ternary semigroups", Discuss. Math. Gen. Algebra Appl, 28(2), pp.147~159 (2008)
  11. A. Iampan, "Lateral ideals of ternary semigroups", Ukr. Mat. Visn, 4(4), pp.525~534 (2007)
  12. P. Jailoka, "Minimality and maximality of ordered quasi-ideals in ordered ternary semigroups", Gen. Math. Notes, 21(2), pp.42~58 (2014)
  13. S. Kar, "On k-regular ternary semirings", Proceedings of the International Conference on Algebra 2010, pp.356~368 (2012), World Sci. Publ.
  14. S. Kar, "Congruences on ternary semigroups", 충청수학회지, 20(3), pp.191~201 (2007), 충청수학회
  15. N. Kehayopulu, "m-systems and n-systems in ordered ternary semigroups", Quasigroups Related Systems, 11, pp.55~58 (2014)
  16. D. H. Lehmer, "A ternary analogue of Abelian groups", Amer. J. Math, (2), pp.329~338 (1932)
  17. J. Los, "On the extending of model I", Fund. Math, 42, pp.38~54 (1955)
  18. D. Madhusduhana Rao, "A study on ternary semirings", Int. J. Math. Archive, 5(12), pp.24~30 (2014)
  19. M. Shabir, "Prime bi-ideals in ternary semigroups", Quasigroups Related Systems, 16(2), pp.239~256 (2008)
  20. F. M. Sioson, "Ideal theory in ternary semigroups", Math. Japon, 10, pp.63~84 (1965)
  21. N. Yaqoob, "Roughness and fuzziness in ordered ternary semigroups", World Appl. Sci. J, 17(12), pp.1683~1693 (2012)

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