Monomial Golod Quotients of Exterior Algebras

Emil Sköldberg

doi:10.1006/jabr.1998.7826

Monomial Golod Quotients of Exterior Algebras

Emil Sköldberg

Stockholm University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

It is proved that for any set M of squarefree monomials in the variables x₁,...,x_n, the algebra A=k[x₁,...,x_n]/(M) is Golod if and only if the algebra B=E(x₁,...,x_n)/(M) is Golod, where E is the exterior algebra. This is proved by showing the equivalence of the extremality of the Poincaré series of A and B.

Original language	English
Pages (from-to)	183-189
Number of pages	7
Journal	Journal of Algebra
Volume	218
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1998.7826
Publication status	Published - 1 Aug 1999
Externally published	Yes

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10.1006/jabr.1998.7826

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title = "Monomial Golod Quotients of Exterior Algebras",

abstract = "It is proved that for any set M of squarefree monomials in the variables x1,...,xn, the algebra A=k[x1,...,xn]/(M) is Golod if and only if the algebra B=E(x1,...,xn)/(M) is Golod, where E is the exterior algebra. This is proved by showing the equivalence of the extremality of the Poincar{\'e} series of A and B.",

author = "Emil Sk{\"o}ldberg",

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N2 - It is proved that for any set M of squarefree monomials in the variables x1,...,xn, the algebra A=k[x1,...,xn]/(M) is Golod if and only if the algebra B=E(x1,...,xn)/(M) is Golod, where E is the exterior algebra. This is proved by showing the equivalence of the extremality of the Poincaré series of A and B.

AB - It is proved that for any set M of squarefree monomials in the variables x1,...,xn, the algebra A=k[x1,...,xn]/(M) is Golod if and only if the algebra B=E(x1,...,xn)/(M) is Golod, where E is the exterior algebra. This is proved by showing the equivalence of the extremality of the Poincaré series of A and B.

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DO - 10.1006/jabr.1998.7826

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JF - Journal of Algebra

IS - 1

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Monomial Golod Quotients of Exterior Algebras

Abstract

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