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On the grading of quotient semirings.

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Title: On the grading of quotient semirings.
Authors: Darwish, Majd Eddin (AUTHOR) majdeddindarwish@gmail.com, Rao, G.Nanaji (AUTHOR) dr.gnanajirao@andhrauniversity.edu.in
Source: Discussiones Mathematicae: General Algebra & Applications. 2026, Vol. 46 Issue 1, p233-250. 18p.
Subjects: Semirings (Mathematics), Mathematical decomposition
Abstract: This paper investigates the grading of the quotient semiring of a graded semiring and explores many relationships between the homogeneous components of both gradings. Furthermore, the relationship between the supports of the original and induced gradings is established. [ABSTRACT FROM AUTHOR]
Copyright of Discussiones Mathematicae: General Algebra & Applications is the property of University of Zielona Gora 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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  Data: This paper investigates the grading of the quotient semiring of a graded semiring and explores many relationships between the homogeneous components of both gradings. Furthermore, the relationship between the supports of the original and induced gradings is established. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Discussiones Mathematicae: General Algebra & Applications is the property of University of Zielona Gora 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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        Value: 10.7151/dmgaa.1489
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        Text: English
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      – SubjectFull: Semirings (Mathematics)
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      – SubjectFull: Mathematical decomposition
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              Text: 2026
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