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Graph with respect to large ideals of an N-group

Author

Listed:
  • Rajani Salvankar

    (Mangalore Institute Technology & Engineering (Visvesvaraya Technological University, Belagavi))

  • H. L. Yashaswini

    (Manipal Institute of Technology)

  • Kedukodi Babushri Srinivas

    (Manipal Institute of Technology)

  • Harikrishnan Panackal

    (Manipal Institute of Technology)

  • Kuncham Syam Prasad

    (Manipal Institute of Technology)

Abstract

We consider a module G over a right nearring N. We define the large ideal graph of G. For a finitely generated N-group, we prove that its large ideal graph has diameter at most 3 and provide an equivalent condition for G to be completely reducible. We prove several properties which involve connectedness, diameter and completeness etc. of graphs obtained from large ideals and strictly large ideals of G. Significant examples are given to illustrate various notions.

Suggested Citation

  • Rajani Salvankar & H. L. Yashaswini & Kedukodi Babushri Srinivas & Harikrishnan Panackal & Kuncham Syam Prasad, 2025. "Graph with respect to large ideals of an N-group," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(3), pages 1078-1089, September.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:3:d:10.1007_s13226-025-00823-4
    DOI: 10.1007/s13226-025-00823-4
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