Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings
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Date
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Advances in Mathematics and Computer Science
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.
Description
Journal on Unit Groups of Classes of Five Radical Zero
Commutative Completely Primary Finite Rings
Citation
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.