The soft Jacobson radical of a commutative ring-Reference-Cited by-同舟云学术

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The soft Jacobson radical of a commutative ring

Published:2021-12-21 Issue: Volume: Page:1-9
ISSN:1829-1163
Container-title:Armenian Journal of Mathematics
language:en
Short-container-title:Armen. J. Math.

Author:

Ghosh Jayanta¹,Mandal Dhananjoy¹,Samanta Tapas Kumar²

Affiliation:

1. University of Calcutta

2. Uluberia College

Abstract

In this paper, the notion of the soft Jacobson radical of a ring is defined. A relationship between the soft Jacobson radical of a ring and Jacobson semisimple ring is established. Some properties of this notion have been studied under homomorphism.

Publisher

Armenian Journal of Mathematics, Institute of Mathematics, NAS RA

Subject

General Mathematics

Reference16 articles.

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2. H. Aktas, and N. Cagman, Soft sets and soft groups, Inform. Sci., 177 (2007), pp. 2726-2735.

3. M. I. Ali, F. Feng, X. Liu, W. K. Min, and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), no. 9, pp. 1547-1553.

4. A. O. Atagün, and A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl., 61 (2011), no. 3, pp. 592-601.

5. N. Cagman, F. Citak, and H. Aktas, Soft int-group and its applications to group theory, Neural Comput. Appl., 21 (2012), pp. 151-158.

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