1) Monogamousness 2) Monogamy 3) One wife at a time practice 
Monogyny is a mating system in which a male can only mate with one female throughout his lifetime but the female may mate with more than one male. In this system the males generally provide no paternal care. In many spider species that are monogynous, the males have two copulatory organs, which allows them to mate a maximum of twice throughout the...
• (n.) The state or condition of being monogynous. • (n.) Marriage with the one woman only.
Mo·nog'y·ny noun [ See Monogynia .] 1. Marriage with the one woman only. 2. (Botany) The state or condition of being monogynous. 
monogyny 1. The mating of a male with only one female. 2. The presence of a single queen in a colony of social insects. 3. Producting only male or only female offspring.
noun having only one wife at a time
the practice or condition of having only one wife at a time. · (of a male animal) the condition of having one mate at a time. · (in social insects) the condition of having one functioning queen in a colony. · the condition of having one pistil.