Irreducible decomposition of powers of edhe ideals
Speaker: Marcel Morales (Institutre Fourier Grenoble and VIASM)

Time:  9h30,Wednesday, April 4, 2018
Location: Room semina 6 Flor, Building A6, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: This is a joint work with N. T. Dung started with Truong in 2016 during their visit to Grenoble.

Given a simple graph we study the irreducible components of $ I_G^k$. Let recall thet H. Lam and N.V. Trung has recently studied the associated primes of $ I_G^k$. In this lecture we are not only interested into the associated primes but we are able to describe the irreducible components by  using some different point of view, using more language from graph theory. We can see how to recover easily the results from H.M. Lam and Hien on the irreducible components of $I^3_G $ and $I^4_G$. We can describe the irreducible decomposition in some particular cases: when the graph is an odd cycle, or a complete graph.


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