Injective homogeneity and homological homogeneity of the ore extensions |
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Authors: | Yi Zhong |
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Affiliation: | (1) Department of Mathematics, Guangxi Teachers University, 541004 Guilin, China |
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Abstract: | In this paper we prove that under some natural conditions, the Ore extensions and skew Laurent polynomial rings are injectively homogeneous or homologically homogeneous if so are their coefficient rings. Specifically, we prove that ifR is a commutative Noetherian ring of positive characteristic, thenA n (R), then th Weyl algebra overR, is injectively homogeneous (resp. homologically homogeneous) ifR has finite injective dimension (resp. global dimension). |
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Keywords: | Injectively homogeneous ring Homologically homogeneous ring Ore extension Quotient ring |
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