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Soft Direct Sum of Soft Int-Rings and Soft Principal Int-Ideal

Author

Listed:
  • Jayanta Ghosh

    (Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700019, India)

  • Dhananjoy Mandal

    (Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata 700019, India)

  • Tapas Kumar Samanta

    (Department of Mathematics, Uluberia College, Uluberia, Howrah 711315, West Bengal, India)

Abstract

In this paper, the notion of soft elementwise ring is introduced and it is shown that the concepts of soft elementwise ring and soft int-ring of a ring are equivalent. The concept of soft direct sum of soft int-rings is defined and some equivalent conditions are given. The notions of minimal generating set for a soft int-ideal and soft principal int-ideal are presented. Some properties of soft principal int-ideal are discussed.

Suggested Citation

  • Jayanta Ghosh & Dhananjoy Mandal & Tapas Kumar Samanta, 2020. "Soft Direct Sum of Soft Int-Rings and Soft Principal Int-Ideal," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 497-515, November.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:03:n:s1793005720500301
    DOI: 10.1142/S1793005720500301
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