Acta Mathematica Vietnamica
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Membership Criteria and Containments of Powers of Monomial Ideals
Huy Tài Hà , Ngo Viet Trungpp. 117-139
Abstract
We present a close relationship between matching number, covering numbers and their fractional versions in combinatorial optimization and ordinary powers, integral closures of powers, and symbolic powers of monomial ideals. This relationship leads to several new results and problems on the containments between these powers.