First-order rigidity of rings satisfying polynomial identities |
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| Institution: | Department of Mathematics, University of California, San Diego, La Jolla, CA, 92093, USA |
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| Abstract: | We prove that every finitely generated Noetherian ring which satisfies a polynomial identity is first-order rigid. This generalizes a result of Aschenbrenner, Khélif, Naziazeno and Scanlon on commutative rings. |
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| Keywords: | First-order rigidity Quasi-finite axiomatizability Polynomial identities Noetherian rings |
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