Abstract
AbstractThis article explores a novel operation of a monomial ideal, termed duplication, which produces a monomial ideal $$I^\diamond $$
I
⋄
from another I. This operation is inspired by and generalizes how vertex duplication affects the edge ideal of a graph. The main result describes a multigraded minimal free resolution of $$I^\diamond $$
I
⋄
as long as we know a resolution for I. Consequently, we obtain formulas for the projective dimension and depth of $$I^\diamond $$
I
⋄
in terms of the corresponding invariants of I.
Funder
Sistema Nacional de Investigadores
Consejo Nacional de Ciencia y Tecnología
Publisher
Springer Science and Business Media LLC
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