2 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
Relative ideals in homological categories, with an application to MV-algebras
Serafina Lapenta, Giuseppe Metere, Luca Spada
Let be a homological category and be a faithful conservative right adjoint. We introduce the notion of relative ideal with respect to , and we show that, un…
Are locally finite MV-algebras a variety?
Marco Abbadini, Luca Spada
We answer Mundici's problem number 3 (D. Mundici. Advanced Łukasiewicz calculus. Trends in Logic Vol. 35. Springer 2011, p. 235): Is the category of locally finite MV-algebras equi…
General affine adjunctions, Nullstellensätze, and dualities
Olivia Caramello, Vincenzo Marra, Luca Spada
We introduce and investigate a category-theoretic abstraction of the standard "system-solution" adjunction in affine algebraic geometry. We then look further into these geometric a…
Two isomorphism criteria for directed colimits
Vincenzo Marra, Luca Spada
Using the general notions of finitely presentable and finitely generated object introduced by Gabriel and Ulmer in 1971, we prove that, in any (locally small) category, two sequenc…