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On Monogenic Modules Over Gamma Nearrings.

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Title: On Monogenic Modules Over Gamma Nearrings.
Authors: Vinay, Dhanyashree1 dhanyashree88@gmail.com, Sahoo, Tapatee2 sahoo.tapatee@manipal.edu, Srinivas, Kedukodi Babushri3 babushrisrinivas.k@manipal.edu, Prasad, Kuncham Syam3 syamprasad.k@manipal.edu
Source: Engineering Letters. Jul2026, Vol. 34 Issue 7, p2757-2763. 7p.
Subjects: Prime ideals, Ideals (Algebra), Modules (Algebra), Algebra
Abstract: We consider a right gamma nearring M and an MΓ-group G. We prove several properties of γ-ideals in MΓ-groups. Furthermore, we investigate monogenic MΓ-groups generated by a pair (γ, g), where γ ∈ Γ and g ∈ G and study the properties of prime ideals. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Jul2026, Vol. 34 Issue 7, p2757-2763. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Prime+ideals%22">Prime ideals</searchLink><br /><searchLink fieldCode="DE" term="%22Ideals+%28Algebra%29%22">Ideals (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Modules+%28Algebra%29%22">Modules (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink>
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  Label: Abstract
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  Data: We consider a right gamma nearring M and an MΓ-group G. We prove several properties of γ-ideals in MΓ-groups. Furthermore, we investigate monogenic MΓ-groups generated by a pair (γ, g), where γ ∈ Γ and g ∈ G and study the properties of prime ideals. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        StartPage: 2757
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      – SubjectFull: Prime ideals
        Type: general
      – SubjectFull: Ideals (Algebra)
        Type: general
      – SubjectFull: Modules (Algebra)
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      – SubjectFull: Algebra
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      – TitleFull: On Monogenic Modules Over Gamma Nearrings.
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            NameFull: Vinay, Dhanyashree
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            NameFull: Sahoo, Tapatee
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              Text: Jul2026
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              Y: 2026
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