Neutrosophic Ideal of a Near Algebra

This article introduces the idea of neutrosophic ideal of a near algebra and provides a definition and example. A few fundamental features related to this approach are also explored. We also present the topics neutrosophic near algebra homomorphism, kernel of a neutrosophic near algebra and coset of a neutrosophic ideal of a near algebra. It is been briefed with the appropriate definitions and theorems on it. It is been proved that sum of the right neutrosophic ideal of a near algebra is also a right neutrosophic ideal of a near algebra over a neutrosophic field.

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Publication Details

Published
2024-12-27
DOI
https://doi.org/10.54216/ijns.250414
Citations
1
Primary Topic
Advanced Mathematical Theories
Type
article
Field-Weighted Citation Impact
0.89
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article

Neutrosophic Ideal of a Near Algebra

T. Nagaiah, Kamal Kumar, L. Bhaskar, B. Harika et al.
1 citations
Advanced Mathematical Theories
0.89
article

Neutrosophic Ideal of a Near Algebra

T. Nagaiah, Kamal Kumar, L. Bhaskar, B. Harika, Bhurgula Bhurgula
article en
1 citations

Abstract

This article introduces the idea of neutrosophic ideal of a near algebra and provides a definition and example. A few fundamental features related to this approach are also explored. We also present the topics neutrosophic near algebra homomorphism, kernel of a neutrosophic near algebra and coset of a neutrosophic ideal of a near algebra. It is been briefed with the appropriate definitions and theorems on it. It is been proved that sum of the right neutrosophic ideal of a near algebra is also a right neutrosophic ideal of a near algebra over a neutrosophic field.

Vol. 25(4)
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Advanced Mathematical Theories
0.89
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Neutrosophic Ideal of a Near Algebra — T. Nagaiah, Kamal Kumar, et al. · (2024) | TGRS Research Map | TGRS