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Antiflexible Rings with Commutators in the Left Nucleus

M.Hema Prasad*, D. Bharathi**

* Assistant Professor in Mathematics, Department of Science & Humanities, SITAMS, Chittoor, A.P. India.

** Associate Professor in Mathematics, Department of Mathematics, S.V. University, Tirupati, A.P. India.

Periodicity:October - December'2014
DOI : https://doi.org/10.26634/jmat.3.4.3188

Abstract

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∈ N_l / 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.

Keywords

Antiflexible rings, commutator, left nucleus, associative, prime ring.

How to Cite this Article?

Prasad, M.H., and Bharathi, D. (2014). Antiflexible Rings with Commutators in the Left Nucleus. i-manager’s Journal on Mathematics, 3(4), 51-56. https://doi.org/10.26634/jmat.3.4.3188

References

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Antiflexible Rings with Commutators in the Left Nucleus

Abstract

Keywords

How to Cite this Article?

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