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On Real Hyperframes | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 1-15 اصل مقاله (1.64 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16897.1079 | ||
| نویسنده | ||
| Cody J Cassiday* | ||
| Math Department Community College of Baltimore County Baltimore, Maryland USA | ||
| چکیده | ||
| The purpose of this paper is to introduce and study hyperframes. Where a frame is a generlization of a basis of a vector space, a hyperframe will act as a generalization of a basis in hypervector space. The present research will only considerl hypervector spaces over the reals, viewed as a Krasner hyperfield. In particular, similarity, equivalency, and dual hyperframes are discussed. | ||
| کلیدواژه‌ها | ||
| Hypervector space؛ Hyperframe؛ Innerproduct hyperspace | ||
| مراجع | ||
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[1] R. Ameri and O. R. Dehghan, On dimension of hypervector spaces European Journal of Pure and Applied Mathematics, 1(2) (2008), 32-50. [2] P. G. Casazza and R. G. Lynch, A brief introduction to Hilbert space frame theory and its applications, arXiv:1509.07347, 2015. [3] P. Corsini, History and new possible research directions of hyperstructures, Ratio Mathematica, 21 (2011), 3-26. [4] O. R. Dehghan, R. Ameri and H. A. Ebrahimi Aliabbadi, Some results on hypervector spaces Italian Journal of Pure and Applied Mathematics, 41 (2019), 23-41. [5] A. C. Golzio, A brief historical survey on hyperstructures in algebra and logic, South American Journal of Logic, 4(1) (2018), 91-119. [6] D. Han, K. Kornelson, D. Larson, and E. Weber, Frames for undergraduates, American Mathematical Soc., (2007). [7] F. Marty, Sur une generalization de la notion de group, 8th Congress Math. Scandenaves: Stockholm, (1934), 45-49. [8] C. G. Massouros and G. G. Massouros, On the borderline of fields and hyperfields Mathematics, 11(6) (2023). [9] P. Pallavi, S. P. Kuncham, S. Tapatee, B. Vadiraja, and P. K. Harikrishnan, Hypernorm on hypervector spaces over a hyperfield, The Journal of Analysis, 32 (2024), 1739-1756. [10] N. Ramaruban, Commutative Hyperalgebra, Doctoral thesis, University of Cincinnati, 2013. [11] S. Roy and T. K. Samanta, A note on hypervector spaces, Discussiones Mathematicae - General Aglebra and Applications, 31(1) (2011), 75-99. [12] S. Roy and T. K. Samanta, A note on convergence in hypervector spaces, Gen. Math. Notes, 2(1) (2011), 149-158. [13] S. Roy and T. K. Samanta, Innerproduct hyperspaces, arXiv:1009.3483v2, 2010. [14] M. A. Tahan and B. Davvaz, Bounded linear transformations on hypernormed vector sapces, Thai Journal of Mathematics, 20(1) (2022), 165-176. [15] M. A. Tahan and B. Davvaz, Hyper vector spaces over Krasner hyperfields, Journal of Algebraic Hyperstructures and Logical Algebras, 1(3) (2020), 61-72. [16] M. S. Tallini, Characterizations of remarkable hypervector spaces, Proc. of 8th int. Congress of Algebraic Hyperstructures and Applications: Samotraki, Greece (2002), 231-237. [17] O. Viro, Hyperfields for tropical geometry i. hyperfields and dequantization arXiv:1006.3034. | ||
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