Nonhierarchical

adj.kind, thoughtfulformal

What it means

Arranged without a fixed ranking that gives some members standing over others.

Reach for it when describing groups or systems that distribute authority across peers

The nonhierarchical collective rotates facilitation and publishes every decision.

everyday
collaborative
people genuinely work and decide together
not when Collaboration can be invited by a leader who retains final authority.
everyday
leaderless
the group intentionally has no permanent leader
not when Leaderless can suggest disorder and does not reveal whether hidden rankings remain.
warm
peer-led
members with comparable standing guide the activity themselves
not when Peer-led groups may elect coordinators or operate within a larger hierarchy.
professional
decentralized
decision-making is spread across several units or locations
not when Decentralization distributes power but may preserve hierarchy inside each unit.
professional
flat
an organization has few or no management layers
not when Flat structures can concentrate informal power even without many titles.
professional
horizontal
authority and communication move among peers rather than down a chain
not when Horizontal is specialized organizational language and may be unclear to a general reader.
formal
egalitarian
equal standing and equal worth are the governing principles
not when Egalitarian values can exist inside an organization that still assigns formal ranks.

nonhierarchical structure
The nonhierarchical structure gives every member equal access to the budget.
nonhierarchical team
A nonhierarchical team still assigns clear responsibility for each deadline.
nonhierarchical organization
The nonhierarchical organization uses consent-based decisions for major changes.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.