On a Localisation Sequence for the K-Theory of Skew Power Series Rings
نویسندگان
چکیده
منابع مشابه
ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS
Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...
متن کاملSimplicity of skew generalized power series rings
A skew generalized power series ring R[[S, ω]] consists of all functions from a strictly ordered monoid S to a ring R whose support contains neither infinite descending chains nor infinite antichains, with pointwise addition, and with multiplication given by convolution twisted by an action ω of the monoid S on the ring R. Special cases of the skew generalized power series ring construction are...
متن کامل$k$-power centralizing and $k$-power skew-centralizing maps on triangular rings
Let $mathcal A$ and $mathcal B$ be unital rings, and $mathcal M$ be an $(mathcal A, mathcal B)$-bimodule, which is faithful as a left $mathcal A$-module and also as a right $mathcal B$-module. Let ${mathcal U}=mbox{rm Tri}(mathcal A, mathcal M, mathcal B)$ be the triangular ring and ${mathcal Z}({mathcal U})$ its center. Assume that $f:{mathcal U}rightarrow{mathcal U}$ is...
متن کاملon annihilator properties of inverse skew power series rings
let $alpha$ be an automorphism of a ring $r$. the authors [on skewinverse laurent-serieswise armendariz rings, comm. algebra 40(1)(2012) 138-156] applied the concept of armendariz rings to inverseskew laurent series rings and introduced skew inverselaurent-serieswise armendariz rings. in this article, we study on aspecial type of these rings and introduce strongly armendariz ringsof inverse ske...
متن کاملNoetherian Skew Inverse Power Series Rings
We study skew inverse power series extensions R[[y−1; τ, δ]], where R is a noetherian ring equipped with an automorphism τ and a τ -derivation δ. We find that these extensions share many of the well known features of commutative power series rings. As an application of our analysis, we see that the iterated skew inverse power series rings corresponding to nth Weyl algebras are complete, local, ...
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ژورنال
عنوان ژورنال: Journal of K-Theory
سال: 2013
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is013001019jkt198