ویراساینس.
مقاله

extensions of regular ‎rings‎

sh. a. safari ‎sabet‎, department of ‎mathematics,‎ central tehran branch, islamic azad university, tehran, ‎iran‎ m. farmani, young researchers and elite club, roudehen branch, islamic azad university, roudehen, ‎iran

چکیده

let $r$ be an associative ring with identity. an element $x in r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if there exist $g in g$, $n in mathbb{z}$ and $r in r$ such that $x^{ng}=x^{ng}rx^{ng}$ (resp. $x^{ng}=x^{(n+1)g}$). a ring $r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if every element of $r$ is $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular). in this paper, we characterize $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) rings. furthermore, this paper includes a brief discussion of $mathbb{z}g$-regularity in group ‎rings.‎

اسناد مشابه

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