Automorphism Group of q-Quantum Torus Lie Algebra with q a Root of Unity* |
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Authors: | Bo Zeng |
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Affiliation: | 1. Department of Mathematics , Xiamen University , Xiamen, China;2. Department of Mathematics , Xiangtan University , Xiangtan, China |
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Abstract: | Let α be an automorphism of a ring R. We study the skew Armendariz of Laurent series type rings (α-LA rings), as a generalization of the standard Armendariz condition from polynomials to skew Laurent series. We study on the relationship between the Baerness and p.p. property of a ring R and these of the skew Laurent series ring R[[x, x ?1; α]], in case R is an α-LA ring. Moreover, we prove that for an α-weakly rigid ring R, R[[x, x ?1; α]] is a left p.q.-Baer ring if and only if R is left p.q.-Baer and every countable subset of S ?(R) has a generalized countable join in R. Various types of examples of α-LA rings are provided. |
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Keywords: | Automorphism group Quantum torus Skew derivation |
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