Extensions of strongly π-regular rings
Date
2014
Authors
Chen, H.
Kose, H.
Kurtulmaz, Y.
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Abstract
An ideal I of a ring R is strongly π -regular if for any x ∈ I there exist n ∈ ℕ and y ∈ I such that xn = xn+1y. We prove that every strongly π -regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any x ∈ I there exist two distinct m, n ∈ N such that xm = xn. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly π -regular and for any u ∈ U(I), u-1 ∈ ℤ[u]. © 2014 Korean Mathematical Society.
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Bulletin of the Korean Mathematical Society
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Korean Mathematical Society
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English