Soft Int-Field Extension

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), 2021, vol. 17, issue 02, 361-385

Abstract: The relation between soft element-wise field and soft int-field has been established and then some properties of soft int-field are studied. We define the notions of soft algebraic element and soft purely inseparable element of a soft int-field extension. Some characterizations of soft algebraic and soft purely inseparable int-field extensions are given. Lastly, we define soft separable algebraic int-field extension and study some of its properties.

Keywords: Soft set; soft element; soft int-field; soft purely inseparable int-field extension; soft separable algebraic int-field extension (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500198

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