Zariski cancellation problem for non-domain noncommutative algebras
O. Lezama, Y.-H. Wang, J.J. Zhang
TL;DR
This paper investigates the Zariski cancellation problem within the context of noncommutative algebras that may not be integral domains, expanding understanding of algebraic cancellation properties beyond classical cases.
Contribution
It introduces new approaches to the Zariski cancellation problem applicable to non-domain noncommutative algebras, a less explored area.
Findings
Identifies conditions under which cancellation holds for certain noncommutative algebras.
Provides examples illustrating when cancellation fails in non-domain cases.
Develops theoretical tools for analyzing cancellation in broader algebraic settings.
Abstract
We study Zariski cancellation problem for noncommutative algebras that are not necessarily domains.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research