| ID | 70892 |
| FullText URL | |
| Author |
Chikunji, Chiteng’a John
Department of Biometry and Mathematics, Botswana University of Agriculture and Natural Resources
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| Abstract | 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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| Keywords | commutative finite rings
unit groups
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| Note | Mathematics Subject Classification. Primary 13M05, 16P10; Secondary 16U60, 20K25.
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| Published Date | 2026-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume68
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 77
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| End Page | 87
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol68/iss1/4
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