A natural fibration for rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 167-180.
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A ringed partially ordered set with zero is a pair (L,F), where L is a partially ordered set with a least element 0 L and F:L𝖱𝗂𝗇𝗀 is a covariant functor. Here the partially ordered set L is given a category structure in the usual way and 𝖱𝗂𝗇𝗀 denotes the category of associative rings with identity. Let 𝖱𝗂𝗇𝗀𝖾𝖽𝖯𝖺𝗋𝖮𝗋𝖽 0 be the category of ringed partially ordered sets with zero. There is a functor :𝖱𝗂𝗇𝗀𝖱𝗂𝗇𝗀𝖾𝖽𝖯𝖺𝗋𝖮𝗋𝖽 0 that associates to any ring R a ringed partially ordered set with zero ( Hom (R),F R ). The functor has a left inverse Z:𝖱𝗂𝗇𝗀𝖾𝖽𝖯𝖺𝗋𝖮𝗋𝖽 0 𝖱𝗂𝗇𝗀. The category 𝖱𝗂𝗇𝗀𝖾𝖽𝖯𝖺𝗋𝖮𝗋𝖽 0 is a fibred category.

Publié le :
DOI : 10.4171/rsmup/76
Classification : 18, 00
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     author = {Alessandro Andrea Bosi and Alberto Facchini},
     title = {A natural fibration for rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {167--180},
     volume = {145},
     year = {2021},
     doi = {10.4171/rsmup/76},
     mrnumber = {4261651},
     zbl = {1497.16046},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/76/}
}
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Alessandro Andrea Bosi; Alberto Facchini. A natural fibration for rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 145 (2021), pp. 167-180. doi : 10.4171/rsmup/76. http://www.numdam.org/articles/10.4171/rsmup/76/

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