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Membership Criteria and Containments of Powers of Monomial Ideals

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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.… Click to show full 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.

Keywords: containments powers; criteria containments; powers monomial; membership criteria; monomial ideals

Journal Title: Acta Mathematica Vietnamica
Year Published: 2019

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