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math.RA2026
-Absolutely pure and -flat modules, revisited
Rafael Parra, Marco A. P{é}rez
We revisit the concepts of -absolutely pure and -flat modules, and their relation with -coherent rings in the sense of Lee. We provide new proofs for some known claims abo…
math.RA2026
On -Coherence and Its Applications to Algebraic -Theory
Rafael Parra
We introduce a unified approach to finiteness conditions in homological algebra and algebraic -theory by studying the class of -coherent rings, defined for $n\in…