extensions of strongly alpha-reversible rings
نویسندگان
چکیده
we introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. we firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. we next argue about the strong$alpha$-reversibility of some kinds of extensions. a number ofproperties of this version are established. it is shown that a ring$r$ is strongly right $alpha$-reversible if and only if itspolynomial ring $r[x]$ is strongly right $alpha$-reversible if andonly if its laurent polynomial ring $r[x, x^{-1}]$ is strongly right$alpha$-reversible. moreover, we introduce the concept ofnil-$alpha$-reversible rings to investigate the nilpotent elementsin $alpha$-reversible rings. examples are given to show that rightnil-$alpha$-reversible rings need not be right $alpha$-reversible.
منابع مشابه
Extensions of strongly alpha-reversible rings
We introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. We firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. We next argue about the strong$alpha$-reversibility of some kinds of extensions. A number ofproperties of this version are established. It is shown ...
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عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 38
شماره 1 2012
میزبانی شده توسط پلتفرم ابری doprax.com
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