Research

Preprints

24 - S. Breaz, T. Brzeziński, B. Rybołowicz, P. Saracco, Heaps of modules: Categorical aspects. (arXiv:2311.01979)

Publications

23 - X. Bekaert, N. Kowalzig, P. Saracco, Universal enveloping algebras of Lie-Rinehart algebras: crossed products, connections, and curvature. Lett Math Phys 114, 140 (2024).
(arXiv:2208.00266, Accepted Manuscript, DOI: 10.1007/s11005-024-01876-y)

22 - E. Batista, W. Hautekiet, P. Saracco, J. Vercruysse, Towards a classification of simple partial comodules of Hopf algebras.  J. Algebra 664 (2025), 312-347.
(arXiv:2310.12728, Accepted Manuscript, DOI: 10.1016/j.jalgebra.2024.10.005)

21 - J. Berger, P. Saracco, J. Vercruysse, Everybody knows what a normal gabi-algebra is. Adv. Math. 451 (2024), Paper No. 109797.
(arXiv:2308.09449, Accepted Manuscript, DOI: 10.1016/j.aim.2024.109797)

20 - 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, Accepted Manuscript, DOI: 10.36045/j.bbms.230816)

19 - S. Breaz, T. Brzeziński, B. Rybołowicz, P. Saracco, Heaps of modules and affine spaces. Ann. Mat. Pura Appl. (4) 203 (2024), no. 1, 403–445.
 (arXiv:2203.07268, Version of Records, DOI: 10.1007/s10231-023-01369-0)

18 - 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)

17 - L. El Kaoutit, A. Ghobadi, P. Saracco, J. Vercruysse, Correspondence theorems for Hopf algebroids with applications to affine groupoids. Canad. J. Math. 76 (2024), no. 3, 830-880.
(arXiv:2211.07756, Accepted Manuscript, DOI: 10.4153/S0008414X23000238)
L. El Kaoutit, A. Ghobadi, P. Saracco, J. Vercruysse, Addenda to “Correspondence theorems for Hopf algebroids with applications to affine groupoids”. Canad. J. Math. (2024).
(Accepted Manuscript, DOI: 10.4153/S0008414X23000238)

16 - 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)

15 - 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)

14 - 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)

13 - M. D’Adderio, W. Hautekiet, P. Saracco, J. Vercruysse, Partial and global representations of finite groups. Algebr. Represent. Theory 26 (2023), no. 5, 1371–1414.
(arXiv:2005.09465, Accepted Manuscript, DOI: 10.1007/s10468-022-10136-3)

12 - 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)

11 - P. Saracco, J. Vercruysse, On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras. Semigroup Forum 105 (2022), no. 2, 534-550.
(arXiv:2107.06574, Accepted Manuscript, DOI: 10.1007/s00233-022-10269-3)

10 - T. Brzeziński, B. Rybołowicz, P. Saracco, On functors between categories of modules over trusses. J. Pure Appl. Algebra 226 (2022), no. 11, Paper No. 107091.
(arXiv:2006.16624, Accepted Manuscript, DOI: 10.1016/j.jpaa.2022.107091)

9 - P. Saracco, Universal Enveloping Algebras of Lie-Rinehart Algebras as a Left Adjoint Functor. Mediterr. J. Math. 19 (2022), no. 2, 92.
(arXiv:2102.01553, Accepted Manuscript, DOI: 10.1007/s00009-022-01985-9)

8 - 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)

7 - P. Saracco, Hopf modules, Frobenius functors and (one-sided) Hopf algebras. J. Pure Appl. Algebra 225 (2021), no. 3, Paper No. 106537, 19 pp.
(arXiv:1904.13065, Accepted Manuscript, DOI: 10.1016/j.jpaa.2020.106537)

6 - P. Saracco, Antipodes, preantipodes and Frobenius functors. J. Algebra Appl. 20 (2021), no. 7, Paper No. 2150124, 32 pp.
(arXiv:1906.03435, Accepted Manuscript, DOI: 10.1142/S0219498821501243)

5 - 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)

4 - 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)

3 - L. El Kaoutit, P. Saracco, Topological tensor product of bimodules, complete Hopf algebroids and convolution algebras. Commun. Contemp. Math. 21 (2019), no. 6, 1-53.
(arXiv:1705.06698, Accepted Manuscript, DOI: 10.1142/S0219199718500153)

2 - 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)

1 - 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

Reviews