Orig. (Westhoff et al. 1946): Mercurialietum annuae Kr. et Vl. 1939
Syn.: Mercurialietum annuae Kruseman et Vlieger 1939 prov. (§ 3b), Amarantho-Fumarietum J. Tüxen 1955, Setario viridis-Fumarietum J. Tüxen 1955, Setario-Veronicetum politae Oberdorfer 1957, Stellario mediae-Mercurialietum annuae Ubrizsy 1967, Thlaspio-Veronicetum politae Görs 1966, Amarantho retroflexi-Diplotaxietum muralis amaranthetosum Holzner 1973, Amarantho-Chenopodietum albi Schubert 1989
Formal definition: group Amaranthus retroflexus NOT group Consolida regalis NOT Atriplex tatarica cover > 25 % NOT Chenopodium album agg. cover > 50 % NOT Iva xanthiifolia cover > 15 %