Soft Maximal and Irreducible Int-Ideals of a Ring

Jayanta Ghosh, Dhananjoy Mandal () and Tapas Kumar Samanta ()
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Jayanta Ghosh: Department of Mathematics, Manickpur Adarsha Vidyapith, Howrah 711309, West Bengal, 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 01, 37-52

Abstract: In this paper, the concepts of soft maximal int-ideal and soft irreducible int-ideal of a ring are introduced and some properties of these notions have been studied. Also we point out some facts of a ring which cannot be extended to the soft setting and it is justified by suitable examples.

Keywords: Soft maximal int-ideal; soft irreducible int-ideal; soft radical; soft prime int-ideal; soft primary int-ideal (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500039

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