A Critical Review of the GLS Normalization Algorithm: \\ Mathematical Foundations and Priority Regarding the 2010 and 2012 Publications}

This note provides a critical review of the paper ``Normalization of rings'' (Greuel, Laplagne, Seelisch, 2010) and the subsequent review ``The normalization of rings'' (2012). The author clarifies that the core engine, the criteria for termination, and the roadmap for computational optimization were established in De Jong (1998). It is argued that the branding of these methods as the ``GLS algorithm'' obscures the original authorship and misrepresents technical implementation details as foundational mathematical breakthroughs.