Shahrood University of TechnologyJournal of Algebraic Systems2345-51282220150201ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS10912436010.22044/jas.2015.360ENM. HabibiDepartment of Mathematics, University of Tafresh, P.O.Box 39518-79611, Tafresh, Iran.0000-0003-1317-1434Journal Article20140521Let $alpha$ 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 a<br />special 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.https://jas.shahroodut.ac.ir/article_360_3c473d1d286abc25947c292a6b305359.pdf