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Decomposing an algebraic variety into irreducible or equidimensionalcomponents is a fundamental task in classical algebraic geometry and hasvarious applications in modern geometry engineering. Several researchersstudied the problem and developed efficient algorithms using $Gr$\"{o}$bner$basis method. In this paper, we try to modify the computation of unmixeddecomposition of an algebraic variety based on improving the computation of$Zero(sat(\mathbb{T}))$, where $\mathbb{T}$ is a triangular set in$\textbf{K[X]}$.

An improvement upon unmixed decomposition of an algebraic variety