Browse > Article
http://dx.doi.org/10.14317/jami.2022.1105

ON AMR-ALGEBRA  

AMIN, AMR K. (Department of Basic Sciences, Adham University College, Umm AL-Qura University, Department of Mathematics and computer Science, Faculty of Science, Beni-Suef University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 1105-1115 More about this Journal
Abstract
The main objective of this paper is to introduce the notion of AMR-algebra and its generalization, and to compare them with other algebras such as BCK, BCI, BCH, · · ·, etc. We show moreover that the K-part of AMR-algebra is an abelian group, and the weak AMR-algebra is also an abelian group and generalizes many known algebras like BCI, BCH, and G.
Keywords
Amr-algebra; weak Amr algebra; algorithms;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Q.P. Hu and X. Li, On BCH-algebras, Mathematics Seminar Notes 11 (1983), 313-320.
2 Ravi Kumar Bandru, On BRK-algebras, International Journal of Mathematics and Mathematical Sciences 2012 (2012), 1-12.   DOI
3 C.B. Kim and H.S. Kim, On BO-algebras, Math. Slovaca 62 (2012), 855-864.   DOI
4 C.B. Kim and H.S. Kim, On BM-algebras, Sci. Math. Japonicae 63 (2006), 421-427.
5 C.B. Kim and H.S. Kim, On BG-algebras, Demonstr. Math. 41 (2008), 497-505.   DOI
6 R.A.K. Omar, On RG-algebras, Pure Math. Sci. 3 (2014), 59-70.   DOI
7 M. Chandramouleeswaran, P. Muralikrishna, K. Sujatha and S. Sabarinathan, A note on Z-algebra, Ital J. Pure Appl. Math. 38 (2017), 707-714.
8 A. Walendziak, On BF-algebras, Math. Slovaca 57 (2007), 119-128.   DOI
9 J. Neggers, S.S. Ahn, and H.S. Kim, On Q-algebras, Int. J. Math. and Math. Sci. 27 (2001), 749-757.   DOI
10 J. Neggers and H.S. Kim, On B-algebras, Math. Vensik 54 (2002), 21-29.
11 M. Kondo, On the class of QS-algebras, Int. J. Math. and Math. Sc. 2004 (2004), 2629-2639.   DOI
12 Y.L. Liu, Y. Xu and J. Meng, BCI-implicative ideals of BCI-algebras, Inform. Sci. 177 (2007), 4987-4996.   DOI
13 Y. Imai and K. Iseki, On axiom systems of propositional calculi, Proc. Japan acad. 42 (1996), 19-22.   DOI
14 Y.B. Jun, E.H. Roh, and H.S. Kim, On BH-algebras, Sci. Math. Japonica 1 (1998), 347-354.