PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2015 | 35 | 1 | 41-51
Tytuł artykułu

Complicated BE-algebras and characterizations of ideals

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, using the notion of upper sets, we introduced the notions of complicated BE-Algebras and gave some related properties on complicated, self-distributive and commutative BE-algebras. In a self-distributive and complicated BE-algebra, characterizations of ideals are obtained.
Rocznik
Tom
35
Numer
1
Strony
41-51
Opis fizyczny
Daty
wydano
2015
otrzymano
2014-11-11
poprawiono
2015-01-10
Twórcy
  • Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
  • Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
Bibliografia
  • [1] J.C. Abbott, Sets, Lattices and Boolean Algebras (Allyn and Bacon, Boston, 1969).
  • [2] S.S. Ahn and K.K. So, On ideals and upper sets in BE-algebras, Sci. Math. Jpn. 68 (2) (2008) 279-285.
  • [3] S.S. Ahn and K.K. So, On generalized upper sets in BE-algebras, Bull. Korean Math. Soc. 46 (2) (2009) 281-287. doi: 10.4134/BKMS.2009.46.2.281
  • [4] S.S. Ahn, Y.H. Kim and J.M. Ko, Filters in commutative BE-algebras, Commun. Korean Math. Soc. 27 (2) (2012) 233-242. doi: 10.4134/CKMS.2012.27.2.233
  • [5] Q.P. Hu and X. Li, On BCH-algebras, Math. Sem. Notes Kobe Univ. 11 (2) (1983) 313-320.
  • [6] Q.P. Hu and X. Li, On proper BCH-algebras, Math. Japon. 30 (4) (1985) 659-661.
  • [7] J. Meng and Y.B. Jun, BCK-algebras (Kyung Moon Sa Co. Seoul-Korea, 1994).
  • [8] Y. Imai and K. Iseki, On axiom system of propositional calculi XIV, Proc. Japan Acad. 42 (1966) 19-22. doi: 10.3792/pja/1195522169
  • [9] K. Isėki and S. Tanaka, An introduction to the theory of BCK-Algebras, Math. Japon 23 (1) (1978/79) 1-26.
  • [10] K. Isėki, On BCI-algebras, Math. Sem. Notes Kobe Univ. 8 (1980) 125-130.
  • [11] Y.B. Jun, E.H. Roh and H.S. Kim, On BH-algebras, Sci. Math. Japon. 1 (3) (1998) 347-354.
  • [12] Y.B. Jun, Y.H. Kim and K.A. Oh, Subtraction algebras with additional conditions, Commun. Korean Math. Soc. 22 (2007) 1-7.
  • [13] C.B. Kim and H.S. Kim, On BM-algebras, Sci. Math. Japon 63 (3) (2006) 421-427.
  • [14] H.S. Kim and Y.H. Kim, On BE-algebras, Sci. Math. Japon 66 (2007) 113-116.
  • [15] H.S. Kim and Y.H. Yon, Dual BCK-algebra and MV-algebra, Sci. Math. Jpn. 66 (2) (2007) 247-353.
  • [16] J. Neggers and H.S. Kim, On d-algebras, Math. Slovaca 49 (1999) 19-26.
  • [17] J. Neggers, On B-algebras, Mat. Vesnik 54 (1-2) (2002) 21-29.
  • [18] J. Neggers, A fundamental theorem of B-homomorphism for B-algebras, Int. Math. J. 2 (3) (2002) 215-219.
  • [19] B.M. Schein, Difference Semigroups, Comm. Algebra 20 (1992) 2153-2169. doi: 10.1080/00927879208824453
  • [20] A. Walendziak, Some axiomatizations of B-algebras, Math. Slovaca 56 (3) (2006) 301-306.
  • [21] A. Walendziak, On commutative BE-algebras, Sci. Math. Jpn. 69 (2) (2009) 281-284.
  • [22] B. Zelinka, Subtaction Semigroups, Math. Bohemica 120 (1995) 445-447.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1226
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.