Maurice Oduor Owino

Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings

Hezron Saka Were, Maurice Oduor Owino & Moses Ndiritu Gichuki · Journal of Advances in Mathematics and Computer Science · 2021

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...