A natural fibration for rings
Alessandro Andrea Bosi
Università di Roma Tre, ItalyAlberto Facchini
Università di Padova, Italy
![A natural fibration for rings cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-145.png&w=3840&q=90)
Abstract
A ringed partially ordered set with zero is a pair , where is a partially ordered set with a least element and is a covariant functor. Here the partially ordered set is given a category structure in the usual way and denotes the category of associative rings with identity. Let be the category of ringed partially ordered sets with zero. There is a functor that associates to any ring a ringed partially ordered set with zero . The functor has a left inverse . The category is a fibred category.
Cite this article
Alessandro Andrea Bosi, Alberto Facchini, A natural fibration for rings. Rend. Sem. Mat. Univ. Padova 145 (2021), pp. 167–180
DOI 10.4171/RSMUP/76