%0 Journal Article
%T ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Habibi, M.
%D 2015
%\ 02/01/2015
%V 2
%N 2
%P 109-124
%! ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
%K Inverse skew power series extensions
%K Radical property
%K Semicommutative rings
%R 10.22044/jas.2015.360
%X Let $alpha$ be an automorphism of a ring $R$. The authors [On skew inverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1) (2012) 138-156] applied the concept of Armendariz rings to inverse skew Laurent series rings and introduced skew inverse Laurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz rings of inverse skew power series type. We determine the radicals of the inverse skew Laurent series ring $R((x^{-1};alpha))$, in terms of those of $R$. We also prove that several properties transfer between $R$ and the inverse skew Laurent series extension $R((x^{-1};alpha))$, in case $R$ is a strongly Armendariz ring of inverse skew power series type.
%U https://jas.shahroodut.ac.ir/article_360_3c473d1d286abc25947c292a6b305359.pdf