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All Journal Tensor: Pure and Applied Mathematics Journal Parameter: Jurnal Matematika, Statistika dan Terapannya PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Bakarbessy, Lusye
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Economics, Econometrics & Finance Mathematics

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Journal : Tensor: Pure and Applied Mathematics Journal

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Kajian Basis dan Dimensi pada Ruang Hipervektor Atas Lapangan Kambu, Loisa Genesis; Patty, Henry Willyam Michel; Bakarbessy, Lusye; Dahoklory, Novita
Tensor: Pure and Applied Mathematics Journal Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp23-38

Abstract

The concept of algebraic hyperstructure is a generalisation of the concept of algebraic structure. The concept of algebraic hyperstructure discussed in this study is hypervector space. The purpose of this paper is to study the basis and dimension of the hypervector space. In hypervector space there is a strong left distributive property, namely (a+b)∘x=a∘x+b∘x, ∀a,b∈K,∀x∈V. In addition, in a hypervector space that has the K-invertible property, the importance of the strong left distribution property and the invertible property in this hypervector space ensures that each linearly independent set has no more than n elements, where n is the dimension of the hypervector space. Furthermore, the addition of vectors from outside the base will result or not linearly independent. Translated with DeepL.com (free version)
Co-Authors Anggriyani, Sheva Helaha, D. A. Kambu, Loisa Genesis Latupeirissa, S. J. Lewaherilla, Aprilia Lewaherilla, Norisca Lexy Janzen Sinay, Lexy Janzen Manuputty, Meirel Matdoan, M. Y. Novita Dahoklory Noya, D. N. Palisoa, N. F. Patty, Henry Willyam Michel Sinay, L. J. Souisa, Gilbert A. Yudistira Yudistira