We show that free objects on sets do not exist in the category baℓ of bounded archimedean ℓ-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in baℓ. We conclude by discussing several consequences of this result.
Free bounded archimedean ℓ -algebras / G. Bezhanishvili, L. Carai, P.J. Morandi. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 29:5(2021 Mar), pp. 879-888. [10.1007/s10485-021-09637-x]
Free bounded archimedean ℓ -algebras
L. Carai
Secondo
;
2021
Abstract
We show that free objects on sets do not exist in the category baℓ of bounded archimedean ℓ-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in baℓ. We conclude by discussing several consequences of this result.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s10485-021-09637-x.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
221.01 kB
Formato
Adobe PDF
|
221.01 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
Free+bals+2021-02-22.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
331.25 kB
Formato
Adobe PDF
|
331.25 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
