We obtain a necessary and sufficient condition for n-dimensional chain complexes composed of finitely generated projective modules to be stabilized by free modules to chain equivalence.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 6, pp. 826–835, June, 2012.
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Khmel’nitskii, N.A. On the chain equivalence of projective chain complexes. Ukr Math J 64, 948–957 (2012). https://doi.org/10.1007/s11253-012-0690-5
- Exact Sequence
- Commutative Diagram
- Chain Complex
- Projective Module
- Free Module