Vol. 3 Issue 4
Year: 2014
Issue:Oct-Dec
Title:Antiflexible Rings with Commutators in the Left Nucleus
Author Name:M Hema Prasad and D.Bharathi
Synopsis:
In this paper, the authors have assumed that 'R' is an antiflexible ring with commutators and (a, b, c) in the left nucleus. Using this, they have proved that the commutators are in the middle of the nucleus. Next they have proved that an antiflexible ring R cannot be simple. They assumed T = {t∈ Nl / t (R, R, R) = 0}and proved that T is an ideal of R and T (R, R, R)= 0 and then they have proved that T∩A = 0, ((a, b, a), R) = 0. Finally using these results they conclude that, if R is a prime antiflexible ring of characteristic ≠ 3, then R is associative.
Year: 2014
Issue:Oct-Dec
Title:Antiflexible Rings with Commutators in the Left Nucleus
Author Name:M Hema Prasad and D.Bharathi
Synopsis:
In this paper, the authors have assumed that 'R' is an antiflexible ring with commutators and (a, b, c) in the left nucleus. Using this, they have proved that the commutators are in the middle of the nucleus. Next they have proved that an antiflexible ring R cannot be simple. They assumed T = {t∈ Nl / t (R, R, R) = 0}and proved that T is an ideal of R and T (R, R, R)= 0 and then they have proved that T∩A = 0, ((a, b, a), R) = 0. Finally using these results they conclude that, if R is a prime antiflexible ring of characteristic ≠ 3, then R is associative.
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