Serafina Lapenta

activity

20152023

collaborators

6 papers

math.RA2023

Baker-Beynon duality beyond semisimplicity

Luca Carai, Serafina Lapenta, Luca Spada

Combining tools from category theory, model theory, and non-standard analysis we extend Baker-Beynon dualities to the classes of all Abelian $ℓ$ -groups and all Riesz spaces (als…

math.CT2022

Relative ideals in homological categories, with an application to MV-algebras

Serafina Lapenta, Giuseppe Metere, Luca Spada

Let $A$ be a homological category and $U : B \to A$ be a faithful conservative right adjoint. We introduce the notion of relative ideal with respect to $U$ , and we show that, un…

math.LO2017

Infinitary logic and basically disconnected compact Hausdorff spaces

Antonio Di Nola, Serafina Lapenta, Ioana Leustean

We extend Łukasiewicz logic obtaining the infinitary logic $I R Ł$ whose models are algebras $C (X, [0, 1])$ , where $X$ is a basically disconnected compact Hausdorff space. Eq…

math.LO2016

An analysis of the logic of Riesz Spaces with strong unit

Antonio Di Nola, Serafina Lapenta, Ioana Leustean

We study Łukasiewicz logic enriched with a scalar multiplication with scalars taken in $[0, 1]$ . Its algebraic models, called {\em Riesz MV-algebras}, are, up to isomorphism, unit i…

math.LO2016

Notes on divisible MV-algebras

Serafina Lapenta, Ioana Leustean

In these notes we study the class of divisible MV-algebras inside the algebraic hierarchy of MV-algebras with product. We connect divisible MV-algebras with $Q$ -vector latt…

math.LO2015

Notes on MV-modules over integral domains

Serafina Lapenta

An MV-module is an MV-algebra endowed with a scalar multiplication with scalars in a PMV-algebra (i.e. an MV-algebra endowed with a binary "ring-like" product). We investigate the…