MATRIARCHATE
matriarchy, matriarchate
(noun) a form of social organization in which a female is the family head and title is traced through the female line
Source: WordNet® 3.1
Etymology
Noun
matriarchate (plural matriarchates)
A matriarchal system or community. [from 19th c.]
The position of a matriarch.
Usage notes
In the context of political science, this term would describe a kind of polity.
Source: Wiktionary
Ma"tri*ar"chate, n.
Definition: The office or jurisdiction of a matriarch; a matriarchal form
of government.
Source: Webster’s Unabridged Dictionary 1913 Edition