Unit Groups of Some Classes of Power Four Radical Zero Commutative Completely Primary Finite Rings

Abstract

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 for all the characteristics of R. Mathematcs Subject Classification: Primary 13M05, 16P10, 16U60; Secondary 13E10, 16N20