Abstract:
For a given carpet of additive subgroups, a carpet subring of the Chevalley algebra is defined. For this
subring, an analog of the known question on the absence of new root elements in a carpet subgroup is answered
and necessary and sufficient conditions of its invariance with respect to the corresponding carpet subgroup are
found.
Keywords:Chevalley group and algebra, carpet of additive subgroups, Lie ring.