Browsing by Subject "Five radical zero"

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Classification of Units of Five Radical Zero Completely Primary Finite Rings with Variant Orders of Second Galois Ring Module Generators

Were, Hezron Saka; Oduor, Maurice Owino; Gichuki, Ndiritu (Asian Research Journal of Mathematics, 2022)

Let R be a commutative completely primary finite ring with a unique maximal ideal Z(R) such that (Z(R))5 = (0); (Z(R))4 ̸= (0). Then R/Z(R) ∼= GF(p r ) is a finite field of order p r . Let R0 = GR(p kr, pk ) be a ...
Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings

Were, Hezron Saka; Owino, Maurice Oduor; Gichuki, Moses Ndiritu (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) ...

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