Source: wikibot/parafactorial-local-ring
= Parafactorial local ring
{wiki=Parafactorial_local_ring}
A **parafactorial local ring** is a specific type of local ring that possesses unique factorization properties in a manner that extends the concept of unique factorization in integers or principal ideal domains (PIDs). To understand a parafactorial local ring, let's start breaking down the key components involved: 1. **Local Ring**: A local ring is a ring that has a unique maximal ideal.