Unusual spectral categories
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 13-25.
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The paper is devoted to a kind of “very non-abelian” spectral categories. Under strong conditions on a category 𝒳, we prove, among other things, that, for a given faithful localization 𝒞→𝒳, we have canonical equivalences Spec(𝒞)∼𝒳∼(category of injective objects in 𝒞), and that 𝒞 has natural injective envelopes.

Publié le :
DOI : 10.4171/rsmup/53
Classification : 18, 00 
@article{RSMUP_2020__144__13_0,
     author = {Mar{\'\i}a Jos\'e Arroyo Paniagua and Alberto Facchini and Marino Gran and George Janelidze},
     title = {Unusual spectral categories},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {13--25},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/53},
     mrnumber = {4186443},
     zbl = {1465.18003},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/53/}
}
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María José Arroyo Paniagua; Alberto Facchini; Marino Gran; George Janelidze. Unusual spectral categories. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 13-25. doi : 10.4171/rsmup/53. http://www.numdam.org/articles/10.4171/rsmup/53/

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