<article_id>JMAT_V3_N4_RP5</article_id>
<title>Antiflexible Rings with Commutators in the Left Nucleus</title>
<author>M. Hema Prasad</author>
<author>D. Bharathi</author>
<journal>Journal on Mathematics</journal>
<issn>2277-5137</issn>
<volume>3</volume>
<issue>4</issue>
<first_page>51</first_page>
<last_page>56</last_page>
<keywords>Antiflexible Rings, Commutator, Left Nucleus, Associative, Prime Ring</keywords>
<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∈ 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.</abstract>
<date>October - December 2014</date>
<copyright>Copyright &copy; 2014 i-manager publications. All rights reserved.</copyright>
<publisher>i-manager Publications</publisher>
<article_url>http://www.imanagerpublications.com/Article.aspx?ArticleId=3188</article_url>