Subperiodic rings with commutative Jacobson radical

Adil Yaqub
2014 International Journal of Algebra  
Let R be a ring with nilpotents N and center C and with Jacobson radical J. Let P be the set of potent elements x for which x n = x, n > 1, n = n(x, y) is an integer. R is called subperiodic if R\(J ∪C) ⊆ N +P. The commutativity behavior of these rings is considered in the case where J is commutative. Mathematics Subject Classification: 16U80, 16D10
doi:10.12988/ija.2014.4775 fatcat:aujo6qkwnbeqfphb6myyqlu32y