The Decomposition Theorem for near Vector Spaces


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Authors

  • Jeromy Kalunga Department of Mathematics, Copperbelt University, Kitwe, Zambia
  • Kelone Tefoetsile Department of Mathematics and Statistical Sciences, Bostwana International University of Science and Technology Palapye, Botswana
  • Henry. M. Phiri Economics Department, University of Lusaka, Lusaka, Zambia
  • Saviour Chibeti Economics Department, University of Lusaka, Lusaka, Zambia

Keywords:

Vector spaces, Near vector spaces, Regularity, Compatibility,Fields, Near-fields, A-group and Quasi-kernel

Abstract

In this paper, we study the Decomposition Theorem for near vector space defined by Andr$\acute{e}$ [1] and we then show how the theorem can be used to determine the cardinality of the quasi-kernel of finite dimensional near vector spaces as in [2].

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Published

15-09-2022

How to Cite

Kalunga, J., Kelone Tefoetsile, Henry. M. Phiri, & Saviour Chibeti. (2022). The Decomposition Theorem for near Vector Spaces. International Journal of Mathematics And Its Applications, 10(3), 1–17. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/57

Issue

Vol. 10 No. 3 (2022)

Section

Research Article

License

Copyright (c) 2022 International Journal of Mathematics And its Applications

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