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Group Action on Fuzzy Ideals of Near Rings

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Frontiers in Industrial and Applied Mathematics (FIAM 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 410))

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Abstract

In this paper, we introduce the group action on a near ring \(\mathcal {N}\) and with it we study group action on fuzzy ideals of \(\mathcal {N},\) \(\mathcal {G}\)-invariant fuzzy ideals, finite products of fuzzy ideals, and \(\mathcal {G}\)-primeness of fuzzy ideals of \(\mathcal {N}\).

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Acknowledgements

The authors are extremely thankful to the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Asma Ali & Arshad Zishan

  2. Department of Mathematics, Himachal Pradesh University, Shimla, India

    Ram Prakash Sharma

Authors
  1. Asma Ali
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  2. Ram Prakash Sharma
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  3. Arshad Zishan
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Corresponding author

Correspondence to Arshad Zishan .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Institute of Technology, Nirma University, Ahmedabad, India

    Rajesh Kumar Sharma

  2. Dipartimento Di Matematica, University of Ferrara, Ferrara, Italy

    Lorenzo Pareschi

  3. Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

    Abdon Atangana

  4. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Bikash Sahoo

  5. Department of Mathematics, Sant Longowal Institute of Engineering and Technology, Longowal, India

    Vijay Kumar Kukreja

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Ali, A., Sharma, R.P., Zishan, A. (2023). Group Action on Fuzzy Ideals of Near Rings. In: Sharma, R.K., Pareschi, L., Atangana, A., Sahoo, B., Kukreja, V.K. (eds) Frontiers in Industrial and Applied Mathematics. FIAM 2021. Springer Proceedings in Mathematics & Statistics, vol 410. Springer, Singapore. https://doi.org/10.1007/978-981-19-7272-0_25

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