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Quotient BRK-algebra | ||
| Journal of Hyperstructures | ||
| دوره 7، شماره 2، اسفند 2018، صفحه 94-103 اصل مقاله (253.2 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2694 | ||
| نویسندگان | ||
| venkateswarlu kolluru* 1؛ Girum Aklilu Abebe2 | ||
| 1Department of Computer Science and Systems Engineering,College of Engineering , Andhra University, Visakhapatnam, Andhra Pradesh, India. | ||
| 2Department of Mathematics, Addis Ababa University Addis Ababa , Ethiopia | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| BRK-algebra؛ congrunces؛ translation ideal؛ anti-symmetric BRK- algebra | ||
| مراجع | ||
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[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) | ||
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آمار تعداد مشاهده مقاله: 107 تعداد دریافت فایل اصل مقاله: 185 |
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