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Sponsored Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt

Author

Luca Reggio

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2 papers indexed here

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Preprint Sep 2026

On implicit operations and balanced categories

The problem of determining whether a category is balanced (i.e., every morphism that is both an epimorphism and a monomorphism is an isomorphism) has been widely investigated, especially in algebra. For complete categories with an extremal projective generator, we characterise the property of being balanced, and the st...

Luca Reggio · 1 citation
Preprint Sep 2026

Beth companions of finitary essentially algebraic theories

For categories, being balanced (meaning that every arrow that is both epic and monic is an isomorphism) can be regarded as a strong tameness property which plays an important role, for example, in algebra and logic. We study the problem of associating a balanced companion category, called \emph{Beth companion}, to a lo...

Ivan Di Liberti, Luca Reggio · 1 citation

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