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Generalizations of prime fuzzy ideals of a lattice | ||
| Journal of Hyperstructures | ||
| دوره 9، شماره 2، اسفند 2020، صفحه 1-33 اصل مقاله (339.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2020.2629 | ||
| نویسندگان | ||
| Yogita Subhash Patil* ؛ Shriram Khanderao Nimbhorkar | ||
| Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India | ||
| چکیده | ||
| As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbing ideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved. It is shown that the radical of a fuzzy ideal of L is a 2-absorbing fuzzy ideal if and only if it is a 2-absorbing primary fuzzy ideal of L. We also introduce and study these concepts in a product of lattices. | ||
| کلیدواژه‌ها | ||
| Lattice؛ fuzzy lattice؛ fuzzy ideal؛ fuzzy prime ideal؛ fuzzy 2-absorbing ideal؛ fuzzy primary ideal | ||
| مراجع | ||
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[1] A. Badawi, On 2-absorbing ideals of commutative rings. Bull. Aust. Math. Soc., 75 (2007), 417-429. [2] A. Badawi and A. Y. Darani, On weakly 2-absorbing ideals of commutative rings, Hoston J. Math., 39(2) (2013), 441-452. [3] B. Davvaz and O. Kazanci, A new kind of fuzzy sublattices (ideals, lters) of a lattice, Int. J. Fuzzy Syst., 13(1) (2011), 831-840. [4] B. B. N. Koguep, C. Nkuimi and C. Lele, On fuzzy prime ideals of lattice, Samsa J. Pure and Appl. Math., 3 (2008), 1-11. [5] B. Yaun and W.Wu, Fuzzy ideals on distributive lattices, Fuzzy sets and systems, 35 (1990), 231-240. [6] D. F. Anderson and A. Badawi, On n-absorbing ideals of commutative rings, Comm. Algebra, 39 (2011), 1646-1672. [7] M. Attallah, Completely fuzzy prime ideals of distributive lattices, J. Fuzzy Maths., 1(8) (2000), 151-156. [8] N. Ajmal and K. V. Thomas, Fuzzy lattices, Inform. Sc., 79 (1994), 271-291. [9] M. P. Wasadikar and K. T. Gaikwad, Some properties of 2-absorbing primary ideals in lattices AKCE Internat. J. Graphs and Combin., 16 (2019) 18-26. [10] M. P. Wasadikar and K. T. Gaikwad, On 2-absorbing and weakly 2-absorbing ideals of lattices, Math. Sci. Int. Res. J., 4 (2015), 82-85. [11] G. Gratzer, Lattice theory: First concepts and distributive lattices, W. H. Freeman and Co. San Francisco, (1971). [12] J. N. Chaudhary, 2-Absorbing ideals in semirings, Internat. J. Algebra, 6(6) (2012), 265-270. [13] J. A. Goguen, L- Fuzzy sets, J. Math. Anal. Appl., 18 (1967),145-147. [14] L. A. Zadeh, Fuzzy sets, Inforrmation and Control, 8 (1965), 338-353. [15] S. H. Payrovi and S. Babaei, On 2-absorbing ideals, Int. Math. Forum, 7(6) (2012), 265-271. | ||
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