"On Direct and Inverse Limits of Retractive Spectra Once Again"

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We prove that if an ∀∃-formula is true on the inverse limit of the retractive spectrum of algebras, then it is also true on the direct limit and establish some… Click to show full abstract

We prove that if an ∀∃-formula is true on the inverse limit of the retractive spectrum of algebras, then it is also true on the direct limit and establish some consequences for functions definable on these limits.

Keywords: inverse limits; direct inverse; retractive spectra; limits retractive

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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