通过棒构造证明半自由dg代数拟同构问题的不可判定性
Undecidability of the quasi-isomorphism problem for semi-free dg algebras via the cobar construction
AI总结:
研究半自由有限表示dg结合代数的拟同构等问题,利用亚当斯棒定理扩展及有限表示群平凡性问题,得出相关问题不可判定的结论。
AI中文摘要:
我们解释了半自由有限表示dg结合代数的拟同构和导出莫里塔等价问题的不可判定性,是亚当斯棒定理扩展到非单连通空间以及有限表示群的平凡性问题的直接结果。
英文摘要:
We explain how the undecidability of the quasi-isomorphism and derived Morita equivalence problems for semi-free finitely presented dg associative algebras follows as an immediate consequence of an extension of Adams' cobar theorem to non-simply connected spaces and the triviality problem for finitely presented groups.