Research Article
BibTex RIS Cite

Solvable BCK-Algebras

Year 2014, Volume: 11 Issue: 2, - , 01.11.2014

A. Najafi A.Borumand Saeid

Abstract

In this paper, the notions of derived sub-algebras and solvable BCK-algebras are introduced and
some properties are given. We introduce the notion of commutators in BCK-algebras and also discuss their
properties. It has been found that the sub-algebras, isomorphic image and inverse image of a solvable BCKalgebras
are still solvable BCK-algebras.

Keywords

BCK-algebras commutators derived sub-algebra solvable BCK-algebras

References

  • [1] W. A. Dudek, On BCC-algebras, Logique et Analyse, 129-130 (1990), 103-111.
  • [2] W. A. Dudek, X. H. Zhang, Initial segments in BCC-algebras, Math Moravica 4 (2000), 29-37.
  • [3] Y. Imai, K. Iseki, On axiom systems of propositional calculi XIV, Proc. Japan Academy, 42 (1966), 19-22.
  • [4] K. Iseki, BCK-algebras, Math. Seminar Notes, 4 (1976), 77-86.
  • [5] K. Iseki, On ideals in BCK-algebras, Math. Seminar Notes, 3 (1975), 1-12.
  • [6] K. Iseki, On finite BCK-algebras, Math. Japon, 25 (1986), 225-229.
  • [7] K. Iseki, An algebras related with a propositional calculus, Math. Japon, 42 (1966), 26-29.
  • [8] K. Iseki, S. Tanaka, An introduction to theory of BCK-algebras, Math. Japon, 23 (1978), 1-26.
  • [9] J. Meng, Y. B. Jun, BCK-algebras, Kyung Moon Sa Co. Seoul, Korea, (1994).
  • [10] A. Najafi, Pseudo-Commutators in BCK-algebras, Pure Mathematical Sciences, 2(1), (2013), 29-32.

Year 2014, Volume: 11 Issue: 2, - , 01.11.2014

A. Najafi A.Borumand Saeid

Abstract

References

  • [1] W. A. Dudek, On BCC-algebras, Logique et Analyse, 129-130 (1990), 103-111.
  • [2] W. A. Dudek, X. H. Zhang, Initial segments in BCC-algebras, Math Moravica 4 (2000), 29-37.
  • [3] Y. Imai, K. Iseki, On axiom systems of propositional calculi XIV, Proc. Japan Academy, 42 (1966), 19-22.
  • [4] K. Iseki, BCK-algebras, Math. Seminar Notes, 4 (1976), 77-86.
  • [5] K. Iseki, On ideals in BCK-algebras, Math. Seminar Notes, 3 (1975), 1-12.
  • [6] K. Iseki, On finite BCK-algebras, Math. Japon, 25 (1986), 225-229.
  • [7] K. Iseki, An algebras related with a propositional calculus, Math. Japon, 42 (1966), 26-29.
  • [8] K. Iseki, S. Tanaka, An introduction to theory of BCK-algebras, Math. Japon, 23 (1978), 1-26.
  • [9] J. Meng, Y. B. Jun, BCK-algebras, Kyung Moon Sa Co. Seoul, Korea, (1994).
  • [10] A. Najafi, Pseudo-Commutators in BCK-algebras, Pure Mathematical Sciences, 2(1), (2013), 29-32.
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

A. Najafi

A.Borumand Saeid

Publication Date November 1, 2014
Published in Issue Year 2014 Volume: 11 Issue: 2

Cite

APA Najafi, A., & Saeid, A. (2014). Solvable BCK-Algebras. Cankaya University Journal of Science and Engineering, 11(2).
AMA Najafi A, Saeid A. Solvable BCK-Algebras. CUJSE. November 2014;11(2).
Chicago Najafi, A., and A.Borumand Saeid. “Solvable BCK-Algebras”. Cankaya University Journal of Science and Engineering 11, no. 2 (November 2014).
EndNote Najafi A, Saeid A (November 1, 2014) Solvable BCK-Algebras. Cankaya University Journal of Science and Engineering 11 2
IEEE A. Najafi and A. Saeid, “Solvable BCK-Algebras”, CUJSE, vol. 11, no. 2, 2014.
ISNAD Najafi, A. - Saeid, A.Borumand. “Solvable BCK-Algebras”. Cankaya University Journal of Science and Engineering 11/2 (November 2014).
JAMA Najafi A, Saeid A. Solvable BCK-Algebras. CUJSE. 2014;11.
MLA Najafi, A. and A.Borumand Saeid. “Solvable BCK-Algebras”. Cankaya University Journal of Science and Engineering, vol. 11, no. 2, 2014.
Vancouver Najafi A, Saeid A. Solvable BCK-Algebras. CUJSE. 2014;11(2).