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Download E-books Prime Ideals in Skew and Q-Skew Polynomial Rings (Memoirs of the American Mathematical Society) PDF

By K. R. Goodearl

There was persevered curiosity in skew polynomial jewelry and comparable structures given that Ore's preliminary stories within the Thirties. New examples now not coated by means of prior analyses have arisen within the present examine of quantum teams. the purpose of this paintings is to introduce and enhance new innovations for realizing the top beliefs in skew polynomial earrings $S=R[y;\tau , \delta ]$, for automorphisms $\tau$ and $\tau$-derivations $\delta$ of a noetherian coefficient ring $R$. Goodearl and Letzter supply specific emphasis to using lately built innovations from the idea of noncommutative noetherian earrings. while $R$ is an algebra over a box $k$ on which $\tau$ and $\delta$ act trivially, an entire description of the major beliefs of $S$ is given lower than the extra assumption that $\tau ^{-1}\delta \tau = q\delta$ for a few nonzero $q\in k$. This final speculation is an abstraction of habit present in many quantum algebras, together with $q$-Weyl algebras and coordinate earrings of quantum matrices, and particular examples alongside those traces are thought of intimately.

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