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On the Unit Groups of a Class of Total Quotient Rings of Characteristic p k with k ≥ 3
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| dc.contributor.author | Wekesa, Wanambisi A. | |
| dc.contributor.author | Oduor, Owino M. | |
| dc.contributor.author | Aywa, S. | |
| dc.contributor.author | Onyango, Ojiema M. | |
| dc.date.accessioned | 2023-08-01T07:14:37Z | |
| dc.date.available | 2023-08-01T07:14:37Z | |
| dc.date.issued | 2017-01 | |
| dc.identifier.citation | Wekesa, W. A., Oduor, O. M., Aywa, S., & Onyango, O. M. (2017). On the Unit Groups of a Class of Total Quotient Rings of Characteristic pk with k≥ 3. International Journal of Algebra, 11(3), 127-135. | en_US |
| dc.identifier.uri | https://doi.org/10.12988/ija.2017.6750 | |
| dc.identifier.uri | http://ir-library.kabianga.ac.ke/handle/123456789/629 | |
| dc.description | On the Unit Groups of a Class of Total Quotient Rings of Characteristic p k with k ≥ 3 | en_US |
| dc.description.abstract | Let R be a commutative completely primary finite ring. The struc tures of the groups of units for certain classes of R have been determined. It is well known that completely primary finite rings play a crucial role in the endeavors towards the classification of finite rings. Let G be an arbitrary finite group. The classification of all finite rings Ri so that U(Ri) ∼= G is still an open problem. In this paper, we consider S ⊂ R to be a saturated multiplicative subset of R and construct a total quotient ring RS whose group of units is characterized, when char RS = p k , k ≥ 3. It is observed that U(R) ∼= U(RS), since R ∼= RS. The cases when char RS = p k , k = 1, 2 have been studied in a related work. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | International Journal of Algebra | en_US |
| dc.subject | Total Quotient Rings | en_US |
| dc.subject | Unit Groups | en_US |
| dc.subject | Localization | en_US |
| dc.subject | Completely Primary Finite Rings | en_US |
| dc.title | On the Unit Groups of a Class of Total Quotient Rings of Characteristic p k with k ≥ 3 | en_US |
| dc.type | Article | en_US |
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