호남수학학술지 (Honam Mathematical Journal)

  • 제39권4호
  • /
  • Pages.569-574
  • /
  • 2017
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

ENERGETIC SUBSETS OF BE-ALGEBRAS

  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Ahn, Sun Shin (Department of Mathematics Education, Dongguk University)
  • 투고 : 2017.07.06
  • 심사 : 2017.10.22
  • 발행 : 2017.12.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The notion of $I_{BE}$-energetic subsets in BE-algebras is introduced, and several properties are investigated. Characterizations of $I_{BE}$-energetic subsets are discussed, and conditions for a subset to be an $I_{BE}$-energetic subset are provided.

키워드

참고문헌

  1. S. S. Ahn, Y. H. Kim and J. M. Ko, Filters in commutative BE-algerbas, Commun. Korean Math. Soc. 27 (2012), no. 2, 233-242. https://doi.org/10.4134/CKMS.2012.27.2.233
  2. S. S. Ahn and K. S. So, On ideals and upper sets in BE-algerbas, Sci. Math. Jpn. 68 (2008), no. 2, 279-285.
  3. R. A. Borzooei, A. B. Saeid, A. Rezaei, A. Radfar and R. Ameri, On pseudo BE-algerbas, Discussions Math. Gen. Alg. Appl. 33 (2013), 95-108. https://doi.org/10.7151/dmgaa.1193
  4. Y. B. Jun, S. S. Ahn and E. H. Roh, Energetic subsets and permeable values with applications in BCK/BCI-algebras, Appl. Math. Sci. 7 (2013), no. 89, 4425-4438.
  5. H. S. Kim and Y. H. Kim, On BE-algerbas, Sci. Math. Jpn. 66 (2007), no. 1, 113-116.
  6. H. S. Kim and K. J. Lee, Extended upper sets in BE-algerbas, Bull. Malays. Math. Sci. Soc. 34 (2011), no. 3, 511-520.
  7. B. L. Meng, On filters in BE-algerbas, Sci. Math. Jpn. 71 (2010), no. 2, 201-207.