Browsing RP-Department of Mathematics, Actuarial and Physical Sciences by Subject "Completely Primary Finite Rings"

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On the Unit Groups of a Class of Total Quotient Rings of Characteristic p k with k ≥ 3

Wekesa, Wanambisi A.; Oduor, Owino M.; Aywa, S.; Onyango, Ojiema M. (International Journal of Algebra, 2017-01)

Let R be a commutative completely primary finite ring. The struc tures of the groups of units for certain classes of R have been determined. It is well known that completely primary finite rings play a crucial role in ...
Unit Groups of Some Classes of Power Four Radical Zero Commutative Completely Primary Finite Rings

Owino, Maurice O; Ojiema, Michael O (2014)

Let R be a completely primary finite ring and J be its Jacobson radical. A class of such rings in which J4 = (0), J3 = (0) has been constructed. Moreover, the structures of their groups of units have been determined ...

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