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

Jayanta Ghosh, Dhananjoy Mandal () and Tapas Kumar Samanta
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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

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 03, 497-515

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.

Keywords: Soft element; soft int-ring; soft int-ideal; soft direct sum; soft principal int-ideal (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500301

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