Quotient BRK-algebra

Document Type : Research Paper

Authors

1 Department of Computer Science and Systems Engineering,College of Engineering , Andhra University, Visakhapatnam, Andhra Pradesh, India.

2 Department of Mathematics, Addis Ababa University Addis Ababa , Ethiopia

Abstract

In this paper we introduce the notion of quotient BRKalgebras and also investigate the properties of these algebras. Further we establish first isomorphism theorem for the special subclass of BRK-algebras namely anti-symmetric BRK-algebras.

Keywords


[1] Y. Imai and K. Iseki : On axiom systems of propositional calculi. XIV, Proceedings of the Japan Academy.,vol.42, pp.
19-22(1966)
[2] K. Iseki: An algebra related with a propositional calculus,Proceedings of the Japan Academy., vol.42, pp. 26-29 (1966)
[3] Q. P. Hu and X. Li: On BCH algebras Mathematics Seminar Notes, vol. 11, pp. 313-320, (1983)
[4] J. Negger, S. S. Ahn, and H. S. Kim: On Q algebras, International Journal of Mathematics and Mathematical Sciences, vol. 27, no. 12, pp. 749-757, (2001)
[5] Ravi Kumar Bandaru: On BRK Algebras, International Journal of Mathematics and Mathematical Sciences vol. 2012, Article ID 952654
[6] Y. B. Jun, E. H. Roh, and H. S. Kim: On BH algebras, Scientiae Mathematicae Japonica, vol. 1, no. 3, pp. 347-354 (1998)
[7] C. B. Kim and H. S. Kim: On BM algebras, Scientiae Mathematicae Japonica, vol 63, no. 3, pp. 421-427 (2006)
[8] H. Yisheng, : BCI algebra, Science press, China, pp. 1-92 (2006)
[9] Andrzej Walendziak: On BM-algebra and related topics, Mathematica Slovaca .(2014)