## Monomial ideal residue class rings and iterated Golod maps.(English)Zbl 0557.13012

[See also the author’s paper in C. R. Acad. Sci., Paris, Sér. I 295, 607-610 (1982; Zbl 0518.13016.] - It is shown here that $$k[[X_ 1,...,X_ n]]/(M_ 1,...,M_ r)$$, where the $$M_ i$$ are monomials, is an image of a complete intersection local ring under a ”Golod homomorphism”.
Reviewer: J.H.de Boer

### MSC:

 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 14M10 Complete intersections 13F25 Formal power series rings

### Keywords:

Poincaré series; Golod homomorphism

Zbl 0518.13016
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