A New Characterization of Semi-Tripotent Rings
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916757162164224 |
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| author | Moussavi, Ahmad Danchev, Peter Javan, Arash Hasanzadeh, Omid |
| author_facet | Moussavi, Ahmad Danchev, Peter Javan, Arash Hasanzadeh, Omid |
| contents | We give a comprehensive study of the so-called \textit{semi-tripotent rings} obtaining their new and non-trivial characterization as well as a complete description in terms of sums and products of some special elements. Particularly, we explore in-depth when a group ring is semi-tripotent. Our results somewhat supply those established by Ko$ş$an et al. in Can. Math. Bull. (2019). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Characterization of Semi-Tripotent Rings Moussavi, Ahmad Danchev, Peter Javan, Arash Hasanzadeh, Omid Rings and Algebras Representation Theory 16N40, 16S50, 16U99 We give a comprehensive study of the so-called \textit{semi-tripotent rings} obtaining their new and non-trivial characterization as well as a complete description in terms of sums and products of some special elements. Particularly, we explore in-depth when a group ring is semi-tripotent. Our results somewhat supply those established by Ko$ş$an et al. in Can. Math. Bull. (2019). |
| title | A New Characterization of Semi-Tripotent Rings |
| topic | Rings and Algebras Representation Theory 16N40, 16S50, 16U99 |
| url | https://arxiv.org/abs/2505.19035 |