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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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