International Journal For Multidisciplinary Research

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FINITE NEAR RINGS AND FINITE DIVISION RINGS

Author(s) Prof. Dr. Kunapuli Venkata Rama Rao, Dr. Tellaakula Anitha
Country India
Abstract We provide counter examples of finite near ring, which is not a ring. It extends the result to finite division rings. We provide counter example of finite division ring, which is not a field. It contradicts the Wedderburn's Little Theorem, asserts that all finite division rings are commutative and therefore finite field
Keywords Near Ring, Finite Ring, Devision Ring, Finite Division Ring
Field Mathematics
Published In Volume 7, Issue 6, November-December 2025
Published On 2025-12-24
DOI https://doi.org/10.36948/ijfmr.2025.v07i06.64380
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E-ISSN 2582-2160
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