## Coherence of relatively quasi-free algebras.(English)Zbl 1333.18020

In the main result of the paper the authors prove that every flat relative quasi-free algebra over a commutative noetherian ring is left and right coherent. This generalizes an old result proved by J. Cuntz and D. Quillen in [J. Am. Math. Soc. 8, No. 2, 251–289 (1995; Zbl 0838.19001)].

### MSC:

 18G20 Homological dimension (category-theoretic aspects) 18G25 Relative homological algebra, projective classes (category-theoretic aspects)

### Keywords:

coherent algebra; quasi-free algebra; Chase criterion

Zbl 0838.19001
Full Text:

### References:

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