Parvaneh Nadi, Farhad Rahmati
Abstract
Let R=K[x1,…,xn] be the standard graded polynomial ring over a field K. We’ll study the Lyubeznik numbers of two homogeneous ideals of R whose initial ideals are linked for some monomial order over R. We’ll also investigate some relations between Lyubeznik and Betti numbers of homogeneous ideals.
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Let R=K[x1,…,xn] be the standard graded polynomial ring over a field K. We’ll study the Lyubeznik numbers of two homogeneous ideals of R whose initial ideals are linked for some monomial order over R. We’ll also investigate some relations between Lyubeznik and Betti numbers of homogeneous ideals.
Key concepts: Mathematics, Polynomial ring, Betti number, Monomial, Homogeneous, Order (exchange), Monomial ideal, Pure mathematics