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A topology on a ring part of IS-algebra | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 843-848 اصل مقاله (316.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5141 | ||
| نویسندگان | ||
| Fatema F. Kareem* 1؛ Reyadh. D. Ali2 | ||
| 1Department of Mathematics, College of Education for Pure Science,Ibn Al-Haithem, University of Baghdad, Baghdad, Iraq | ||
| 2Department of Mathematics, College of Education for Pure Science,University of Karbala, Karbala, Iraq | ||
| تاریخ دریافت: 12 اسفند 1399، تاریخ بازنگری: 31 فروردین 1400، تاریخ پذیرش: 16 اردیبهشت 1400 | ||
| چکیده | ||
| We give a topology on a ring part of IS-algebra, by define prime ideals of a commutative ring part of IS-algebra and study some of its properties. | ||
| کلیدواژهها | ||
| IS-algebra؛ adjoin ring part؛ prime ideal | ||
| مراجع | ||
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[1] E. Eslami and F. Kh. Haghani, Pure filters and stable topology on BL-algebras, Kybernetika, 45 (2009) 491–506. [2] Y. Imai and K. Iseki, On axiom systems of propositional calculi, XIV,Proc. Japan Acad. Ser A. Math. Sci. 42 (1966) 19–22. [3] K. Iseki, On BCI-algebras, Math. Sem. Notes, 8 (1980) 125–130. [4] Y. Jun and S. M. Hong, BCI-semigroups, Honam Math. J. 15(1) (1993) 59–64. [5] Y. Jun, Roh E. H. and X. L. Xin, I-ideals generated by a set in IS-algebras, Bull Korean Math. Soc. 35 (1998) 615–624. [6] F. Kareem, R. D. Ali and S. M. Mostafa, Fuzzy topological spectrum of a KU-algebra, Mater. Sci. Eng. (2019) 571 012015. [7] S. M. Mostafa and F. F. Kareem, A topology spectrum of a KU-algebra, J. New Theo. 5 (2015) 78–91. [8] T. Roudbari and N. Motahari, A topology on BCK-modules via prime sub-BCK-modules, J. Hyper Struct. 1 (2012) 24–30. [9] K. Venkateswarlu and B. V. N. Murthy, Spectrum of Boolean like semi ring, Int. J. Math. Sci. Appl. 1 (2011). [10] Y. Wenqi, Two rings in IS-algebras, Proc. Fifth Int. Conf. Number Theory and Smarandache Notions, (2009) 98–101. | ||
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