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2013 | 33 | 2 | 147-165
Tytuł artykułu

Quotient hyper pseudo BCK-algebras

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals. Also, we introduce the notion of regular congruence relation on hyper pseudo BCK-algebras and investigate some related properties. By using this relation, we construct the quotient hyper pseudo BCK-algebra and give some related results.
Rocznik
Tom
33
Numer
2
Strony
147-165
Opis fizyczny
Daty
wydano
2013
otrzymano
2013-03-08
poprawiono
2013-09-06
Twórcy
  • Departmevnt of Mathemaics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran
  • Departmevnt of Mathemaics, Payame Noor University, Tehran, Iran
  • Departmevnt of Mathemaics, Shahid Beheshti University, Tehran, Iran
Bibliografia
  • [1] R.A. Borzooei and H. Harizavi, Regular Congruence Relations on Hyper BCK-algebras, Sci. Math. Jap. 61 (2005) 217-231.
  • [2] R.A. Borzooei, A. Hasankhani, M.M. Zahedi and Y.B. Jun, On hyper K-algebra, Math. Jap. 52 (2000) 113-121.
  • [3] R.A. Borzooei, A. Rezazadeh and R. Ameri, On hyper pseudo BCK-algebra, Iranian J. Math. Sci. and Inf., to appear.
  • [4] R.A. Borzooei, M.M. Zahedi and H. Rezaei, Classification of hyper BCK-algebras of order 3, Italian J. Pure Appl. Math. 12 (2002) 175-184.
  • [5] P. Corsini and V. Leoreanu, Applications of Hyper Structure Theory (Kluwer Academic Publications, 2003). doi: 10.1007/978-1-4757-3714-1.
  • [6] G. Ggeorgesu and A. Iorulescu, Pseudo BCK-algebra, in: Proceeding of DMTCS 01, Combinatorics and Logic (Ed(s)), (Springer London, 2001) 97-114.
  • [7] Sh. Ghorbani, A. Hasankhani and E. Eslami, Hyper MV-algebras, Set-Valued Mathematics and Applications 1 (2008) 205-222.
  • [8] A. Iorgulescu, Classes of Pseudo BCK-algebra-Part I, Journal of Multiple-valued Logic and Soft Computing 12 (2006) 71-130.
  • [9] A. Iorgulescu, Classes of Pseudo BCK-algebra-Part II, Journal of Multiple-valued Logic and Soft Computing 12 (2006) 575-629.
  • [10] Y. Imai and K. Iseki, On Axiom System of Prepositional Calculi XIV, Proc. Japan Acad. 42 (1996) 26-29.
  • [11] Y.B. Jun, M. Kondo and K.H. Kim, Pseudo Ideals of Pseudo BCK-algebras, Sci. Math. Jap. 8 (2003) 87-91.
  • [12] Y.B. Jun, M.M. Zahedi, X.L. Xin and R.A. Borzooei, On Hyper BCK-algebra, Italian J. Pure and Appl. Math. 10 (2000) 127-136.
  • [13] F. Marty, Scu une généralization de la notion de groups, in: 8th Congress Math. (Ed(s)), (Scandinavian, Stockholm, 1934) 45-49.
  • [14] Jie Meng and Young Bae Jun, BCK-algebras (Kyung Moon Sa. Co., 1994).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1205
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