Dergiler / International Electronic Journal of Algebra / 2009 / Cilt: 6 - Sayı: 6

NI RINGS WHICH ARE WEAKLY π-REGULAR

NI RINGS WHICH ARE WEAKLY π-REGULAR

C. SELVARAJ, S. PETCHİMUTHU

Sayfa
31–37
DOI
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Abstract

In this paper, we prove that if a ring R with identity is NI and satisfies (CZ2), then R is right (left) weakly π-regular if and only if R/N ∗(R) is right (left) weakly π-regular, if and only if every strongly prime ideal of R is maximal.