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Some results on ideals via homomorphisms in BL-algebras | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 2، 2024، صفحه 167-181 اصل مقاله (1.62 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15998.1050 | ||
| نویسندگان | ||
| Fateme Alinaghian1؛ Farhad Khaksar Haghani* 2؛ Shahram Heidarian1 | ||
| 1Department of Mathematics, Shahrekord Branch, Islamic Azad University Shahrekord, Iran | ||
| 2Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran. | ||
| چکیده | ||
| In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ideals and obstinate ideals. Finally, by introducing σ-prime, σ-primaryand σ-invariant ideals, we derived some new results related to them. | ||
| کلیدواژهها | ||
| BL-algebra؛ primary ideal؛ obstinate ideal؛ σ-ideal؛ σ-primary-ideal؛ σ-invariant ideal | ||
| مراجع | ||
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[1] L. P. Belluce, A. Di Nola and A. Letteieri, Local MV -algebras, Rend. Circ. Mat. Palermo., Seri II, Tomo XLII (1993), 347-361. [2] C. C. Chang, Algebraic analysis of many valued logic, Trans. Amer. Math. Soc., 88(1958), 467-490. [3] A. Di Nola, R. Grigolia and E. Turunen, Fuzzy Logic of Quasi-Truth: An Algebraic Treatment, Studies in Fuzziness and Soft Computing, 2016. [4] M. Haveshki, A. Borumand Saeid and E. Eslami, Some types of lters in BL-algebras, Soft Comput., 10(2006), 657-664. [5] P. Hajek, Metamathematics of Fuzzy Logic, Trend in Logic- Studia Logic Library, vol. 4, Kluwer Academic Publishers, Dordrecht, 1998. [6] A. Iogulescu, Algebras of logic as BCK-algebra, Bucharest university of Economics, Bucharest, Romania, (2008). [7] C. Lele and J. B. Nganon, MV -algebras derived from ideals in BL-algebras, Fuzzy sets syst., 218 (2013), 103-313. [8] B. Long Meng and X. Long Xin, Prime ideals and Godel ideals of BL-Algebras, Journal of Advances in Mathematics., 9(2015), 2989-3005. [9] F. Najmi Dolat Abadi and J. Moghadari, Filters by BL-homomorphisms, Soft Comput., 14(3)(2019). [10] A. Paad, Folding Theory of implicative and obstinate ideals in BL-algebras, Discussiones Mathematicae General Algebra and Applications, 38 (2018), 255-271. [11] A. Paad, Radical of ideals in BL-algebras, Annal of Fuzzy Mathematics and informations, 14(3) (2017), 249-263. [12] E. Turunen, Mathematics Behind Fuzzy Logic, Phyica-Verlag, Heidelberg, (1999). [13] E. Turunen and S. Sessa, Local BL-algebras, J. Mult. Valued Logic Soft Comput., 6(1)(2001), 229-249. [14] A. Walendziak, On implicative and maximal ideals of BL-algebras, Commentations Mathematicae., 54(2) ( 2014), 247-258. | ||
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