On groups of units of commutative finite rings
| フルテキストURL | |
| 著者 |
Chikunji, Chiteng’a John
Department of Biometry and Mathematics, Botswana University of Agriculture and Natural Resources
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| 抄録 | Let R be a commutative completely primary finite ring with unique maximal ideal J such that J3 = {0} and J2 ̸= {0}. In this paper, we investigate and determine the structure of the group of units U(R) of the ring R of characteristic p3 without giving any conditions on the generators for the maximal ideal J or on the invariants of the ring R.
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| キーワード | commutative finite rings
unit groups
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| 備考 | Mathematics Subject Classification. Primary 13M05, 16P10; Secondary 16U60, 20K25.
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| 発行日 | 2026-01
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| 出版物タイトル |
Mathematical Journal of Okayama University
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| 巻 | 68巻
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| 号 | 1号
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| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
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| 開始ページ | 77
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| 終了ページ | 87
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| ISSN | 0030-1566
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| NCID | AA00723502
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| 資料タイプ |
学術雑誌論文
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| 言語 |
英語
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| 著作権者 | Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
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| 論文のバージョン | publisher
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| 査読 |
有り
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| Submission Path | mjou/vol68/iss1/4
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