Now - I am not including all men in patriarchy; likewise, I'm not excluding all women.
Patriarchy is a system, not a gender, typically led by males. But, in my definition, not necessarily.
In fact, the last sentence of the article is: "Anyway, I composed this piece mostly because I realize that the press has a messaging problem. Namely, in the sense that they seem extremely averse to explicitly identifying the message of the Republican Party. Its called white male supremacy. Thanks for reading."
https://en.wikipedia.org/wiki/Patriarchy
Patriarchy is an institutionalized social system in which men dominate over others, but can also refer to dominance over women specifically; it can also extend to a variety of manifestations in which men have social privileges over others to cause exploitation or oppression, such as through male dominance of moral authority and control of property.[1][2][3] Patriarchal societies can be patrilineal or matrilineal, meaning that property and title are inherited by the male or female lineage respectively.
Patriarchy is associated with a set of ideas, a patriarchal ideology that acts to explain and justify this dominance and attributes it to inherent natural differences between men and women. Sociologists hold varied opinions on whether patriarchy is a social product or an outcome of innate differences between the sexes. Sociobiologists have argued that the roots of inequality were set in humanity's earliest period and are primarily due to genetic and reproductive differences between men and women. Aligned closely with evolutionary psychology, this theory posits that gender inequity is an inherent part of human social structures.
Social constructionists contest this argument, arguing that gender roles and gender inequity are instruments of power and have become social norms to maintain control over women. Constructionists would contend that sociobiological arguments serve to justify the oppression of women.[4]
Historically, patriarchy has manifested itself in the social, legal, political, religious, and economic organization of a range of different cultures.[5] Most contemporary societies are, in practice, patriarchal.[6][7]