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Totally acyclic complexes and homological invariants over arbitrary rings

math.RA · 2025-06-29 · unverdicted · novelty 6.0

Equivalent characterizations of totally acyclic complexes over general rings are established in relation to silp(R), spli(R), and sfli(R), with refinements to prior equality results and extensions of Iwanaga-Gorenstein characterizations to non-commutative rings that also address the Nakayama conject

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  • Totally acyclic complexes and homological invariants over arbitrary rings math.RA · 2025-06-29 · unverdicted · none · ref 46

    Equivalent characterizations of totally acyclic complexes over general rings are established in relation to silp(R), spli(R), and sfli(R), with refinements to prior equality results and extensions of Iwanaga-Gorenstein characterizations to non-commutative rings that also address the Nakayama conject