Some commutativity theorems through a Streb\'s classification
Abstract
In the present paper we investigate commutativity of rings with unity satisfying any one of the properties(Error rendering LaTeX formula),(Error rendering LaTeX formula), ![x<sup>t</sup>[x<sup>k</sup>,y]=g(y)[x,f(y)]h(y)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/a8277479160d805455ba488feb9f4d31.png)
and ![[x<sup>k</sup>,y]x<sup>t</sup>=g(y)[x,f(y)]h(y)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/2b63c1f7df426bbc4f4068ce32c16680.png)
for some 
in ![X<sup>2</sup>Z[X],](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/b4a055029915e2abd08f768f5dc35e6b.png)
where 
are non-negative integers. Finally, under different appopriate constraints on commutators, commutativity of R has been established.
and for some in where are non-negative integers. Finally, under different appopriate constraints on commutators, commutativity of R has been established.DOI Code:
10.1285/i15900932v14n1p71
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