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Exact Sequences of BCK-Modules

Year 2022, , 63 - 66, 01.03.2022

Alper Ülker

https://doi.org/10.33401/fujma.1002715

Abstract

BCK-modules were introduced as an action of a BCK-algebra over an Abelian group. Homomorphisms of BCK-modules form an exact sequence which is called BCK-sequence. In this paper, we study homomorphisms of BCK-modules. We show that this homomorphisms have a module structure. Moreover, we show that sequences of Hom functors are BCK-sequences.

Keywords

BCK-algebra BCK-module Exact sequence Hom functor

References

  • [1] Y. Imai, K. Iseki, On axiom system of prepositional calculus, XIV, Pro Jap. Aced., 42 (1966), 19-22.
  • [2] K. Iseki, S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica, 21 (1978), 351-366.
  • [3] H. A. S. Abujabal, M. Aslam, A. B. Thaheem, On actions of BCK-algebras on groups, 4 (1994), 43-48.
  • [4] Z. Perveen, M. Aslam, A. B. Thaheem, On BCK-modules, Southeast Asian Bull. Math., 30 (2006), 317-329.
  • [5] I. Baig, M. Aslam, On certain BCK-modules, Southeast Asian Bull. Math., 34 (2010), 1-10.
  • [6] A. Kashif, M. Aslam, Homology theory of BCK-modules, Southeast Asian Bull. Math., 38 (2014), 61-72.
  • [7] S. M. Seyedjoula, A. Gilani, E. Arfa, Exact seqnece in BCK-algebra, J. Inf. Optim. Sci., 41(4) (2020), 1153-1162.
  • [8] J. Meng, Y. B. Jun, BCK-Algebras, Kyugmoon Sa Co, Korea, 1994.

Year 2022, , 63 - 66, 01.03.2022

Alper Ülker

https://doi.org/10.33401/fujma.1002715

Abstract

References

  • [1] Y. Imai, K. Iseki, On axiom system of prepositional calculus, XIV, Pro Jap. Aced., 42 (1966), 19-22.
  • [2] K. Iseki, S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica, 21 (1978), 351-366.
  • [3] H. A. S. Abujabal, M. Aslam, A. B. Thaheem, On actions of BCK-algebras on groups, 4 (1994), 43-48.
  • [4] Z. Perveen, M. Aslam, A. B. Thaheem, On BCK-modules, Southeast Asian Bull. Math., 30 (2006), 317-329.
  • [5] I. Baig, M. Aslam, On certain BCK-modules, Southeast Asian Bull. Math., 34 (2010), 1-10.
  • [6] A. Kashif, M. Aslam, Homology theory of BCK-modules, Southeast Asian Bull. Math., 38 (2014), 61-72.
  • [7] S. M. Seyedjoula, A. Gilani, E. Arfa, Exact seqnece in BCK-algebra, J. Inf. Optim. Sci., 41(4) (2020), 1153-1162.
  • [8] J. Meng, Y. B. Jun, BCK-Algebras, Kyugmoon Sa Co, Korea, 1994.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Alper Ülker 0000-0001-5592-7450

Publication Date March 1, 2022
Submission Date September 30, 2021
Acceptance Date February 15, 2022
Published in Issue Year 2022

Cite

APA Ülker, A. (2022). Exact Sequences of BCK-Modules. Fundamental Journal of Mathematics and Applications, 5(1), 63-66. https://doi.org/10.33401/fujma.1002715
AMA Ülker A. Exact Sequences of BCK-Modules. Fundam. J. Math. Appl. March 2022;5(1):63-66. doi:10.33401/fujma.1002715
Chicago Ülker, Alper. “Exact Sequences of BCK-Modules”. Fundamental Journal of Mathematics and Applications 5, no. 1 (March 2022): 63-66. https://doi.org/10.33401/fujma.1002715.
EndNote Ülker A (March 1, 2022) Exact Sequences of BCK-Modules. Fundamental Journal of Mathematics and Applications 5 1 63–66.
IEEE A. Ülker, “Exact Sequences of BCK-Modules”, Fundam. J. Math. Appl., vol. 5, no. 1, pp. 63–66, 2022, doi: 10.33401/fujma.1002715.
ISNAD Ülker, Alper. “Exact Sequences of BCK-Modules”. Fundamental Journal of Mathematics and Applications 5/1 (March 2022), 63-66. https://doi.org/10.33401/fujma.1002715.
JAMA Ülker A. Exact Sequences of BCK-Modules. Fundam. J. Math. Appl. 2022;5:63–66.
MLA Ülker, Alper. “Exact Sequences of BCK-Modules”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 1, 2022, pp. 63-66, doi:10.33401/fujma.1002715.
Vancouver Ülker A. Exact Sequences of BCK-Modules. Fundam. J. Math. Appl. 2022;5(1):63-6.

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