On the structure of primary ideals of a non-Laskerian group ring

In this paper, we study the structure of Rn = (Fp + uFp)[Zn; ] where u2 = 0 and (u) = −u. As a main result, we prove that this group ring is not Laskerian. Also, we classify the maximal ideals, prime ideals, and primary ideals and 2nd the ideals that have primary decomposition. We also nd J(Rn), Nil(Rn), Nil(Rn), and Nil(Rn) as additional results.