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The Picard group of algebras over an algebraically nonclosed field

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2011 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 215, pages 2,464-2,468 (issn: 0022-4049,

Authors: Wojciech Kucharz; Kamil Rusek;

doi: 10.1016/j.jpaa.2011.02.001

The Picard group of algebras over an algebraically nonclosed field

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Abstract

AbstractLet k be a field that is not algebraically closed, and let A be a k-algebra, whose each maximal ideal has residue field k. We prove that each element of the Picard group of A is of finite order and give an optimal upper bound for its order.

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Algebra and Number Theory

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