This article demonstrates the preservation of Sagbi-Gröbner bases under homogenization and dehomogenization for modules over subalgebras, indicating structural stability.
This article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization. We prove that the Sagbi-Gröbner basis for submodules over subalgebras behaves well in these processes, as the property of being a Sagbi-Gröbner basis is preserved under homogenization and dehomogenization.
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Kanwal et al. (2026) studied this question.
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