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arxiv: 1309.1771 · v2 · pith:T5LFD2GPnew · submitted 2013-09-06 · 🧮 math.AC

When is a Squarefree Monomial Ideal of Linear Type ?

classification 🧮 math.AC
keywords monomialsquarefreedescriptionevenidealswalksalgebrasclosed
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In 1995 Villarreal gave a combinatorial description of the equations of Rees algebras of quadratic squarefree monomial ideals. His description was based on the concept of closed even walks in a graph. In this paper we will generalize his results for all squarefree monomial ideals by using a definition of even walks in a simplicial complex.

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