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On Hv-groups with strong inverses elements | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 خرداد 1405 اصل مقاله (1.62 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2026.18216.1129 | ||
| نویسندگان | ||
| Razieh Mahjoob* 1؛ Throdo Kaplani2؛ Thomas Vogiouklis2 | ||
| 1Semnan University | ||
| 2Democritus University of Thrace, School of Education, 681 00 Alexandroupolis, Greece | ||
| چکیده | ||
| The largest class of hyperstructures is the class of Hv-structures. In this class, equality is replaced by non-empty intersection. This class is extremely large and can, therefore, be used to define various objects that can not be defined within classical hypergroup theory. In the present paper, we deal with strong-inverse elements, which are defined in both hypergroups and Hv-groups, particularly, in cases where there is more than one unit element. We introduce several constructions obtained by the properties of strong-inverse elements in Hv-groups. | ||
| کلیدواژهها | ||
| hyperstructure؛ Hv -structure؛ hope | ||
| مراجع | ||
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[1] B. Davvaz, R.M. Santilli and T. Vougiouklis, Studies of multi-valued hyper-structures for the characterization of matter-antimatter systems and their extension, Algebras, Groups and Geometries 28(1) (2011), 105-116. [2] K. Hila, R.M. Santilli and T. Vougiouklis, Lie-Santilli admissible hyper-structures, from numbers to Hv-numbers, Ratio Mathematica, 52 (2024), 176-187. [3] T. Vougiouklis, Hypermathematics, Hv-structures, hypernumbers, hypermatrices and Lie-Santilli admissibility, American J. Modern Physics, 4(5) (2015), 34-46. [4] T. Vougiouklis, The fundamental relation in hyperrings. The general hyperfield, 4thAHA, Xanthi (1990), World Scientific (1991), 203-211. [5] T. Vougiouklis, Generalization of P-hypergroups, Rend. Circolo Mat. Palermo, Ser.II, 36 (1987), 114-121. [6] T. Vougiouklis, Hyperstructures and their Representations, Monographs in Math., Hadronic, 1994. [7] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, 1993. [8] P. Corsini and V. Leoreanu, Application of Hyperstructure Theory, Klower Academic Publisher, 2003. [9] B. Davvaz, Polygroup Theory and Related Systems, World Scientific, 2013. [10] B. Davvaz and V. Leoreanu, Hyperring Theory and Applications, Int. Acad. Press, 2007. [11] B. Davvaz and T. Vougiouklis, A Walk Through Weak Hyperstructures, World Scientific, 2019. [12] A. Dramalidis, R. Mahjoob and T. Vougiouklis, P-hopes on non-square matrices for Lie-Santilli admissibility, Clifford analysis, Clifford algebras and their applications, 4(3) (2015), 361-372. [13] R. Mahjoob, The e-theta hopes, Iranian Journal of Mathematical Science and Informatics, 13(1) (2018), 39-50. [14] R. Mahjoob and T. Vougiouklis, Applications of the uniting elements method, It. J. of pure and applied math., 3 (2016), 23-34. [15] R. Mahjoob and T. Vougiouklis, On the Lie-Santilli Admissibility, Iranian Journal of Mathematical Science and Informatics, 14(1) (2019), 69-79. [16] T. Vougiouklis, Some remarks on hyperstructures, Contemporary Math., Amer. Math. Society, 184 (1995), 427-431. [17] T. Vougiouklis, The Lie-hyperalgebras and their fundamental relations, Southeast Asian Bull. Math., 37(4) (2013), 601-614. [18] T. Vougiouklis, Enlarging Hv-structures, Algebras and Combinatorics, ICAC’97, Hong Kong, Springer-Verlag (1999), 455-463. [19] T. Vougiouklis, On Hv-rings and Hv-representations, Discrete Math., Elsevier, 208/209 (1999), 615-620. [20] T. Vougiouklis, ∂-operations and Hv-fields, Acta Math. Sinica, (Engl. Ser.), 24(7) (2008), 1067-1078. [21] T. Vougiouklis and P. Kambaki-Vougioukli, On the use of the bar, China-USA Business Review, 10(6) (2011), 484-489. [22] T. Vougioukliscand T. Kaplani, Special Elements on P-hopes and ∂-hopes, Southeast Asian Bull. Math., 40(3) (2016), 451-460. | ||
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آمار تعداد مشاهده مقاله: 29 تعداد دریافت فایل اصل مقاله: 20 |
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