Absolutely Clean N-Complexes | Wuhan University Journal of Natural Sciences

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Volume 30 / No 2 (April 2025)

Wuhan Univ. J. Nat. Sci., 30 2 (2025) 133-138

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Fig. 1

The commutative diagram of $p f = g$

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Note that $I$ is $H o m_{C_{N} (R)} (D_{n}^{t} (M), -)$ exact since $D_{n}^{t} (M)$ is an absolutely clean N-complex by Corollary 2. Thus, it follows the exact sequence (16), there is an exact sequence

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