Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings

Were, Hezron Saka and Owino, Maurice Oduor and Gichuki, Moses Ndiritu (2021) Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings. Journal of Advances in Mathematics and Computer Science, 36 (8). pp. 137-154. ISSN 2456-9968

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Abstract

In this paper, R is considered a completely primary finite ring and Z(R) is its subset of all zero divisors (including zero), forming a unique maximal ideal. We give a construction of R whose subset of zero divisors Z(R) satisfies the conditions (Z(R))5 = (0); (Z(R))4 ̸= (0) and determine the structures of the unit groups of R for all its characteristics.

Item Type: Article
Subjects: Afro Asian Library > Mathematical Science
Depositing User: Unnamed user with email support@afroasianlibrary.com
Date Deposited: 25 Feb 2023 12:38
Last Modified: 14 Jun 2024 11:30
URI: http://classical.academiceprints.com/id/eprint/77

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