Bipartite Graphs Whose Edge Algebras Are Complete Intersections

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Bipartite Graphs Whose Edge Algebras Are Complete Intersections

Let R be monomial sub-algebra of k[x1, . . . , xN ] generated by square free monomials of degree two. This paper addresses the following question: when is R a complete intersection? For such a k-algebra we can associate a graph G whose vertices are x1, . . . , xN and whose edges are {(xi, xj)|xixj ∈ R}. Conversely, for any graph G with vertices {x1, . . . , xN} we define the edge algebra associ...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1999

ISSN: 0021-8693

DOI: 10.1006/jabr.1999.7919