On the Quotient Groups of Subgroups of the Unit Groups of a Class of Completely Primary Finite Rings

Please use this identifier to cite or link to this item: http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2851

Title:	On the Quotient Groups of Subgroups of the Unit Groups of a Class of Completely Primary Finite Rings
Authors:	Oduor, Owino Maurice Mmasi, Eliud Ojiema, Michael
Keywords:	On the Quotient, Groups, Subgroups, Unit Groups ,Class, Completely, Primary, Finite, Rings
Issue Date:	2015
Publisher:	Pure Mathematical Sciences,
Abstract:	The study of completely primary nite rings has generated interest- ing results in the structure theory of nite rings with identity. It has been shown that a nite ring can be classi ed by studying the structures of its group of units. But this group has subgroups which are interesting objects of study. Let R be a completely primary nite ring of character- istic pn and J be its Jacobson radical satisfying the condition Jn = (0) and Jn􀀀1 6= (0). In this paper, we characterize the quotient groups of subgroups of the group of units of R. Mathematics Subjec
URI:	http://dx.doi.org/10.12988/pms.2015.556 http://ir-library.mmust.ac.ke:8080/xmlui/handle/123456789/2851
Appears in Collections:	Gold Collection

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