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math.GN2026
Singular Submodules of Abelian Groups over Their Endomorphism Rings
Jiang Yang, Xin Zhang
Let be an abelian group and $E=\Endo_{\Z}(A)$. We give a module-theoretic description of the singular -submodules asked for in Fuchs' Problem~1.2. For a unital ring and…
math.GN2026
Ultrafilter Equivalence and Asymptotic Types of Five Classical t-Norms
Jiang Yang, Xiongwei Zhang, Xin Zhang
We study five classical -norms on the unit interval from the viewpoint of ultrafilter concentration. For a fixed ultrafilter on , we introduce an equivalence…