Relative cancellation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 26 May 2026Embargo end date: 01 Mar 2025 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 154, pages 3,201-3,218 (issn: 0002-9939, eissn: 1088-6826,

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Authors: Huang, Hongdi; Nazemian, Zahra; Wang, Yanhua; Zhang, James J.;

doi: 10.1090/proc/17583 , 10.48550/arxiv.2503.10083

arXiv: 2503.10083

Relative cancellation

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Abstract

We introduce and study a relative cancellation property for associative algebras. We also prove a characterization result for polynomial rings which partially answers a question of Kraft.

Keywords

16P99, 16W99, Representation Theory, Commutative Algebra, FOS: Mathematics, Representation Theory (math.RT), Commutative Algebra (math.AC), Algebraic Geometry, Algebraic Geometry (math.AG)

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