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The Collaborative International Dictionary
Nonmembership

Nonmembership \Non*mem"ber*ship\, n. State of not being a member.

Wiktionary
nonmembership

n. Absence of membership; the state or condition of not being a member.

Usage examples of "nonmembership".

It must characterize the attitude of every loyal believer towards nonacceptance of political posts, nonidentification with political parties, nonparticipation in political controversies, and nonmembership in political organizations and ecclesiastical institutions.