대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제46권2호
  • /
  • Pages.281-287
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  • 2009
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON GENERALIZED UPPER SETS IN BE-ALGEBRAS

  • 발행 : 2009.03.31
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초록

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

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참고문헌

  1. S. S. Ahn and Y. H. Kim, Some constructions of implicative/commutative d-algebras, Bull. Korean Math. Soc. 46 (2009), no. 1, 147–153 https://doi.org/10.4134/BKMS.2009.46.1.147
  2. S. S. Ahn and K. S. So, On ideals and upper sets in BE-algebras, Sci. Math. Jpn. 68 (2008), no. 2, 279–285
  3. Q. P. Hu and X. Li, On BCH-algebras, Math. Sem. Notes Kobe Univ. 11 (1983), no. 2, part 2, 313–320
  4. Q. P. Hu and X. Li, On proper BCH-algebras, Math. Japon. 30 (1985), no. 4, 659–661
  5. K. Iseki, On BCI-algebras, Math. Sem. Notes Kobe Univ. 8 (1980), no. 1, 125–130
  6. K. Iseki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japon. 23 (1978/79), no. 1, 1–26
  7. Y. B. Jun, E. H. Roh, and H. S. Kim, On BH-algebras, Sci. Math. 1 (1998), no. 3, 347–354
  8. H. S. Kim and Y. H. Kim, On BE-algebras, Sci. Math. Jpn. 66 (2007), no. 1, 113–116
  9. J. Meng and Y. B. Jun, BCK-Algebras, Kyung Moon Sa, Co., Seoul, 1994

피인용 문헌

  1. ON POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS vol.27, pp.3, 2014, https://doi.org/10.14403/jcms.2014.27.3.419
  2. BCK-Algebras and Related Algebraic Systems vol.2011, 2011, https://doi.org/10.1155/2011/268683
  3. Fuzzy congruence relations in CI-algebras vol.21, pp.S1, 2012, https://doi.org/10.1007/s00521-012-0908-3
  4. On Fuzzy Positive Implicative Filters inBE-Algebras vol.2014, 2014, https://doi.org/10.1155/2014/929162
  5. On -Semigroups vol.2011, 2011, https://doi.org/10.1155/2011/676020
  6. Commutative Ideals in BE-algebras vol.52, pp.4, 2012, https://doi.org/10.5666/KMJ.2012.52.4.483
  7. FILTERS IN COMMUTATIVE BE-ALGEBRAS vol.27, pp.2, 2012, https://doi.org/10.4134/CKMS.2012.27.2.233
  8. Commutative and Bounded BE-algebras vol.2013, 2013, https://doi.org/10.1155/2013/473714
  9. Smarandache n-Structure on CI-Algebras vol.63, pp.1-2, 2013, https://doi.org/10.1007/s00025-011-0189-7
  10. On pseudo-CI algebras pp.1433-7479, 2018, https://doi.org/10.1007/s00500-018-3428-y