On the structure of primary ideals of a non-Laskerian group ring
Dastbasteh, Reza and Mousavi, Seyyed Hamed and Abualrub, Taher and Haghighat, Javad (2016) On the structure of primary ideals of a non-Laskerian group ring. [Working Paper / Technical Report] Sabanci University ID:UNSPECIFIED
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.
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