2-absorbing hyperideals and homomorphisms in join hyperlattices
| dc.contributor.author | Panackal ,H | |
| dc.contributor.author | P., Panjarike | |
| dc.contributor.author | Al-Tahan M, | |
| dc.contributor.author | Bhatta V, | |
| dc.contributor.author | Prasad K.S. | |
| dc.date.accessioned | 2024-02-01T09:09:08Z | |
| dc.date.available | 2024-02-01T09:09:08Z | |
| dc.date.issued | 2023-11 | |
| dc.description | 1.IntroductionThe concept of a binary operation pertains to a system wherein two elements combine to produce another element. However, in many naturally occurring phenomena, the combination of two elements may yield more than one possible outcome. In such a scenario, the concept of hyperoperations proves more applicable than binary operations. A hyperoperation on a set is a mapping :()2*→, where *() denotes the collection of non-empty subsets of . The theory of hyperstructures was initially introduced by Marty [1–2] in 1934. Subsequently, various researchers have contributed to its development (see [3]) | |
| dc.description.abstract | In this paper, we investigate hyperlattices, which arise by replacing one (or both) binary operation(s) of a lattice with hyperoperation(s). Several authors have studied prime generalizations of ideals in rings as well as lattices. We focus on the prime generalizations of hyperideals in join hyperlattices. Specifically, we introduce the concept of $2$-absorbing, primary $2$-absorbing primary etc.. in join hyperlattices and explore their interrelations. We establish that the intersection of two prime hyperideals is 2-absorbing, and the intersection of two $Q$-primary hyperideals is 2-absorbing primary. Additionally, we deal with the study of homomorphic images and pre-images of various types of hyperideals in join hyperlattices. Keywords :prime hyperideal, Hyperlattice, radical | |
| dc.identifier.citation | Harikrishnan, P. K., Pallavi, P., Al-Tahan, M., Vadiraja, B., & Kuncham, S. P. (2023). 2-absorbing hyperideals and homomorphisms in join hyperlattices. Results in Nonlinear Analysis, 6(4), 128-139. | |
| dc.identifier.doi | https://doi.org/10.31838/rna/2023.06.04.010 | |
| dc.identifier.uri | https://dspace.adu.ac.ae/handle/1/702 | |
| dc.language.iso | en | |
| dc.publisher | RNA | |
| dc.title | 2-absorbing hyperideals and homomorphisms in join hyperlattices | |
| dc.type | Review |
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