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 a 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.
Habibi, M. (2015). ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS. Journal of Algebraic Systems, 2(2), 109-124. doi: 10.22044/jas.2015.360
MLA
M. Habibi. "ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS". Journal of Algebraic Systems, 2, 2, 2015, 109-124. doi: 10.22044/jas.2015.360
HARVARD
Habibi, M. (2015). 'ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS', Journal of Algebraic Systems, 2(2), pp. 109-124. doi: 10.22044/jas.2015.360
VANCOUVER
Habibi, M. ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS. Journal of Algebraic Systems, 2015; 2(2): 109-124. doi: 10.22044/jas.2015.360
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