An essay from Paul F. Bradshaw, “The Ancient Church Orders: early ecclesiastical law?” appears in David Lincicum et al. (ed.), Law and Lawlessness in Early Judaism and Early Christianity (WUNT 420; Tübingen: Mohr-Siebeck, 2019).
Unsurprisingly Bradshaw answers the question with a qualified negative, but there is much here and, like anything Bradshaw writes, is worth a read.
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