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A Cubic Set Theoretical Approach to Linear Space

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  • S. Vijayabalaji
  • S. Sivaramakrishnan

Abstract

The main motivation of this paper is to introduce the notion of cubic linear space. This inspiration is received from the structure of cubic sets. The notions of R -intersection, R -union, P -intersection, and P -union of cubic linear spaces are defined and we provide some results on these. We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them.

Suggested Citation

  • S. Vijayabalaji & S. Sivaramakrishnan, 2015. "A Cubic Set Theoretical Approach to Linear Space," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-8, May.
  • Handle: RePEc:hin:jnlaaa:523129
    DOI: 10.1155/2015/523129
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    Cited by:

    1. Anas Al-Masarwah & Halimah Alshehri, 2022. "Algebraic Perspective of Cubic Multi-Polar Structures on BCK/BCI-Algebras," Mathematics, MDPI, vol. 10(9), pages 1-19, April.

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