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

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Journal of Advances in Mathematics and Computer Science

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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.

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

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Were, H. S., Owino, M. O., & Gichuki, M. N. (2021). Unit groups of classes of five radical zero commutative completely primary finite rings. Journal of Advances in Mathematics and Computer Science, 36(8), 137-154.

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