Preprints

S. Breaz, T. Brzezinski, B. Rybolowicz, P. Saracco, Heaps of modules: Categorical aspects. (arXiv:2311.01979)
E. Batista, W. Hautekiet, P. Saracco, J. Vercruysse, Towards a classification of simple partial comodules of Hopf algebras. (arXiv:2310.12728)
X. Bekaert, N. Kowalzig, P. Saracco, Universal enveloping algebras of Lie-Rinehart algebras: crossed products, connections, and curvature. (arXiv:2208.00266)

Publications

J. Berger, P. Saracco, J. Vercruysse, Everybody knows what a normal gabi-algebra is. Adv. Math. 451 (2024), Paper No. 109797.
(arXiv:2308.09449, DOI: 10.1016/j.aim.2024.109797)
P. Saracco, A remark on the Galois-type correspondence between ideal coideals and comodule subrings of a Hopf algebroid. Bull. Belg. Math. Soc. Simon Stevin 30 (2023), no. 5, 668-682.
(arXiv:2308.05706, DOI: 10.36045/j.bbms.230816)
S. Breaz, T. Brzezinski, B. Rybolowicz, P. Saracco, Heaps of modules and affine spaces. Ann. Mat. Pur. Appl. (2023).
(arXiv:2203.07268, Version of Records, DOI: 10.1007/s10231-023-01369-0)
P. Saracco, J. Vercruysse, Geometric partial comodules over flat coalgebras in Abelian categories are globalizable. J. Pure Appl. Algebra 228 (2024), no. 3, Paper No. 107502.
(arXiv:2107.07299, Accepted Manuscript, DOI: 10.1016/j.jpaa.2023.107502)
L. El Kaoutit, A. Ghobadi, P. Saracco, J. Vercruysse, Correspondence theorems for Hopf algebroids with applications to affine groupoids. Canad. J. Math. (2023)
(arXiv:2211.07756, Accepted Manuscript, DOI: 10.4153/S0008414X23000238)
A. Ardizzoni, L. El Kaoutit, P. Saracco, Towards Differentiation and Integration between Hopf algebroids and Lie algebroids. Publ. Mat. 67 (2023), no. 1, pp. 3-88.
(arXiv:1905.10288, Accepted Manuscript, DOI: 10.5565/PUBLMAT6712301)
P. Saracco, On anchored Lie algebras and the Connes-Moscovici bialgebroid construction. J. Noncommut. Geom. 16 (2022), no. 3, pp. 1007-1053.
(arXiv:2009.14656, Accepted Manuscript, DOI: 10.4171/jncg/475)
A. Ardizzoni, P. Saracco, D. Stefan, PBW-deformations of graded rings. Isr. J. Math. 249 (2022), no. 2, 769-856.
(arXiv:1710.04444, Accepted Manuscript, DOI: 10.1007/s11856-022-2325-3)
M. D'Adderio, W. Hautekiet, P. Saracco, J. Vercruysse, Partial and global representations of finite groups. Algebr Represent Theor (2022).
(arXiv:2005.09465, Accepted Manuscript, DOI: 10.1007/s10468-022-10136-3)
P. Saracco, J. Vercruysse, Globalization for geometric partial comodules. J. Algebra 602 (2022), 37-59.
(arXiv:2001.07669, Accepted Manuscript, DOI: 10.1016/j.jalgebra.2022.03.013)
P. Saracco, J. Vercruysse, On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras. Semigroup Forum (2022).
(arXiv:2107.06574, Accepted Manuscript, DOI: 10.1007/s00233-022-10269-3)
T. Brzezinski, B. Rybolowicz, P. Saracco, On functors between categories of modules over trusses. J. Pure Appl. Algebra 226 (2022), n. 11, 107091.
(arXiv:2006.16624, Accepted Manuscript, DOI: 10.1016/j.jpaa.2022.107091)
P. Saracco, Universal Enveloping Algebras of Lie-Rinehart Algebras as a Left Adjoint Functor. Mediterr. J. Math. 19, 92 (2022).
(arXiv:2102.01553, Accepted Manuscript, DOI: 10.1007/s00009-022-01985-9)
L. El Kaoutit, P. Saracco, The Hopf Algebroid Structure of Differentially Recursive Sequences. Quaest. Math. 45 (2022), no. 4, 547-593.
(arXiv:2003.08180, Accepted Manuscript, DOI: 10.2989/16073606.2021.1885520)
P. Saracco, Hopf modules, Frobenius functors and (one-sided) Hopf algebras. J. Pure Appl. Algebra 225 (2021), n. 3, 106537.
(arXiv:1904.13065, Accepted Manuscript, DOI: 10.1016/j.jpaa.2020.106537)
P. Saracco, Antipodes, preantipodes and Frobenius functors. J. Algebra Appl. 20 (2021), no. 7, 2150124, 32 pp.
(arXiv:1906.03435, Accepted Manuscript, DOI: 10.1142/S0219498821501243)
P. Saracco, Coquasi-bialgebras with Preantipode and Rigid Monoidal Categories. Algebr. Represent. Theory 24 (2021), no. 1, 55-80.
(arXiv:1611.06819, Accepted Manuscript, DOI: 10.1007/s10468-019-09931-2)
L. El Kaoutit, P. Saracco, Comparing topologies on linearly recursive sequences. Ars Math. Contemp. 16 (2019), n. 2, 319-329.
(arXiv:1705.03433, Version of Records, DOI: 10.26493/1855-3974.1436.7a2)
L. El Kaoutit, P. Saracco, Topological tensor product of bimodules, complete Hopf algebroids and convolution algebras. Commun. Contemp. Math. 21 (2019), n. 6, 1-53.
(arXiv:1705.06698, Accepted Manuscript, DOI: 10.1142/S0219199718500153)
P. Saracco, On the structure theorem for quasi-Hopf bimodules. Appl. Categ. Structures 25 (2017), no. 1, 3-28.
(arXiv:1501.06061, Accepted Manuscript, DOI: 10.1007/s10485-015-9408-9)
A. Ardizzoni, L. El Kaoutit, P. Saracco, Functorial constructions for non-associative algebras with applications to quasi-bialgebras. J. Algebra 449 (2016), 460-496.
(arXiv:1507.02402, Accepted Manuscript, DOI: 10.1016/j.jalgebra.2015.11.029)

Thesis

P. Saracco, Hopf Structures and Duality. PhD thesis, defended with honours on the 26th of March, 2018.
P. Saracco, On the Fundamental Structure Theorem for quasi-Hopf bimodules. Master thesis, defended on the 16th of July, 2014.
P. Saracco, L'algebra lineare nello studio delle varietà di punti. Bachelor thesis, defended on the 20th of July, 2011.

Reviews