Embedded Files
PREPRINTS
PREPRINTS
55. A. Ardizzoni, C. Menini, P. Saracco, Integrals for Monoid Algebras and Left Adjustable Monoid, work in progress.
54. A. Ardizzoni, L. Bottegoni, A. Cigoli, A. Sciandra, Protomodularity of cocommutative Hopf monoids in duoidal categories and quasitriangular Hopf algebras, preprint. (arxiv:2607.25512)
53. A. Ardizzoni, C. Menini, P. Saracco, Integrals for Bialgebras, preprint. (arxiv:2509.14823)
↪︎ See Saracco's talk at the "European Non-Associative Algebra Seminar"
TO APPEAR/FIRST ONLINE
TO APPEAR/FIRST ONLINE
PUBLISHED
PUBLISHED
52. A. Ardizzoni, A. Sciandra, The binary product in the 2-category of triangular bialgebras and twisted morphisms, J. Algebra 711 (2027), 340-379. Open Access. (doi:10.1016/j.jalgebra.2026.06.027)
51. A. Ardizzoni, C. Menini, P. Saracco, On the Hopf envelope of finite-dimensional bialgebras, J. Algebra 692 (2026), 653-705. Open Access. (doi:10.1016/j.jalgebra.2025.12.022)
50. A. Ardizzoni, L. Bottegoni, A. Sciandra, T. Weber, Infinitesimal braidings and pre-Cartier bialgebras, Commun. Contemp. Math., Vol. 27, No. 05, 2450029 (2025). (doi:10.1142/S0219199724500299)
↪︎ See Weber's talk at the "North Atlantic Noncommutative Geometry Seminar - 2023"
49. A. Ardizzoni, L. Bottegoni, Semiseparable Functors and Conditions up to Retracts, Appl. Categ. Structures 32, no. 24 (2024). Open Access. (doi:10.1007/s10485-024-09782-z)
48. A. Ardizzoni, L. Bottegoni, Semiseparable Functors, J. Algebra. 638 (2024), 862-917. Open Access. (doi:10.1016/j.jalgebra.2023.10.007)
↪︎ See Bottegoni's talk at the "Categories and Companions Symposium - 2021"
47. A. Ardizzoni, I. Goyvaerts, C. Menini, Pre-Rigid Monoidal Categories, Quaest. Math. 46 (2023), no. 8, 1503-1546. (doi:10.2989/16073606.2022.2112106)
46. A. Ardizzoni, I. Goyvaerts, C. Menini, Liftable Pairs of Functors and Initial Objects, Rend. Circ. Mat. Palermo, II. Ser 72 (2023), 1879–1918. Open Access. (doi:10.1007/s12215-022-00765-4)
45. A. Ardizzoni, L. El Kaoutit, P. Saracco, Toward Differentiation and Integration Between Hopf Algebroids and Lie Algebroids, Publ. Mat., 67 (2023), no. 1, 3-88. (doi:10.5565/PUBLMAT6712301)
44. A. Ardizzoni, P. Saracco and D. Ştefan, PBW-Deformations of Graded Rings, Israel J. Math. 249 (2022), no. 2, 769–856. (doi:10.1007/s11856-022-2325-3)
43. A. Ardizzoni, C. Menini, Monadic vs Adjoint Decomposition, J. Pure Appl. Algebra. Volume 226 (2022), no. 8, Paper No. 106945, 47 pp. (doi:10.1016/j.jpaa.2021.106945)
↪︎ See my talk at the "Category Theory CT20->21"
42. A. Ardizzoni and F. Stumbo, On Indecomposable Ideals Over Some Algebras, Algebr. Represent. Theory 23 (2020), no.4, 1443–1466. (doi:10.1007/s10468-019-09900-9)
41. A. Ardizzoni, C. Menini, Heavily Separable Functors, J. Algebra 543 (2020), 170-197. (doi:10.1016/j.jalgebra.2019.10.008)
40. A. Ardizzoni, I. Goyvaerts, C. Menini, Restricted Lie algebras via monadic decomposition, Algebr. Represent. Theory 21 (2018), 703–716. (doi:10.1007/s10468-017-9734-8)
39. I. E. Angiono, A. Ardizzoni, and C. Menini, Cohomology and Coquasi-bialgebras in Yetter-Drinfeld Modules, Ann. Sc. Norm. Super. Pisa Cl. Sci (5), Vol. XVII (2017), 609-653. (doi:10.2422/2036-2145.201509_018)
38. A. Ardizzoni and L. El Kaoutit, Invertible Bimodules, Miyashita Action in Monoidal Categories and Azumaya Monoids, Nagoya Math. J.. Vol. 225 (2017), p. 1-63. (doi:10.1017/nmj.2016.25)
37. A. Ardizzoni, F. Galluzzi and F. Vaccarino, A new family of algebras whose representation schemes are smooth, Ann. Inst. Fourier (Grenoble), Vol. 66 no. 3 (2016), p. 1261-1277. (Paper) (doi:10.5802/aif.3037)
36. A. Ardizzoni, L. El Kaoutit and P. Saracco, Functorial Constructions for Non-associative Algebras with Applications to Quasi-bialgebras, J. Algebra, Vol. 449 (2016), 460-496. (doi:10.1016/j.jalgebra.2015.11.029)
35. A. Ardizzoni and C. Menini, Milnor-Moore Categories and Monadic Decomposition, J. Algebra, Vol. 448 (2016), 488-563. (doi:10.1016/j.jalgebra.2015.09.031)
34. A. Ardizzoni, M. Beattie and C. Menini, Quantum Lines for Dual Quasi-Bialgebras, Algebr. Represent. Theory, Vol. 18, Issue 1 (2015), 35-64. (doi:10.1007/s10468-014-9478-7)
33. A. Ardizzoni, J. Gómez-Torrecillas and C. Menini, Monadic Decompositions and Classical Lie Theory, Appl. Categor. Struct., Vol. 23, Issue 1 (2015), 93-105. (doi:10.1007/s10485-013-9326-7)
32. A. Ardizzoni and C. Menini, Adjunctions and Braided Objects, J. Algebra Appl. Vol. 13(06) (2014), 1450019 (47 pages). (doi:10.1142/S0219498814500194)
31. A. Ardizzoni, D. Bulacu and C. Menini, Quasi-bialgebra Structures and Torsion-free Abelian Groups, Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 56(104) No. 3 (2013), 247-265. (jstor.org/stable/43679354)
30. A. Ardizzoni, A. Pavarin, Bosonization for Dual Quasi-Bialgebras and Preantipode, J. Algebra, Vol. 390 (2013), 126-159. (doi:10.1016/j.jalgebra.2013.05.014)
29. A. Ardizzoni, L. El Kaoutit and C. Menini, Coendomorphism left bialgebroids, J. Algebra Appl.. Vol. 12(03) (2013), 1250181 (21 pages). (doi:10.1142/S0219498812501812)
28. A. Ardizzoni, A. Pavarin, Preantipodes for Dual Quasi-Bialgebras, Israel J. Math., Vol. 192(1) (2012), 281-295. (doi:10.1007/s11856-012-0024-1)
27. A. Ardizzoni, L. El Kaoutit and C. Menini, Categories of comodules and chain complexes of modules, Internat. J. Math., Vol. 23(10) (2012), 1250109 (36 pages). (doi:10.1142/S0129167X12501091)
26. A. Ardizzoni, On Primitively Generated Braided Bialgebras, Algebr. Represent. Theory, Vol. 15(4) (2012), 639-673. (doi:10.1007/s10468-010-9257-z)
25. A. Ardizzoni, M. Beattie and C. Menini, Gauge Deformations for Hopf Algebras with the Dual Chevalley Property, J. Algebra Appl., Vol. 11(3) (2012), 1250051. (doi:10.1142/S0219498811005798)
24. A. Ardizzoni and C. Menini, Associated Graded Algebras and Coalgebras, Comm. Algebra, Vol. 40(3) (2012), 862-896. (doi:10.1080/00927872.2010.540286)
23. A. Ardizzoni, Universal Enveloping Algebras of PBW Type, Glasg. Math. J., Vol. 54(1) (2012), 9-26. (doi:10.1017/S0017089511000310)
22. A. Ardizzoni, M. Beattie and C. Menini, Cocycle Deformations for Liftings of Quantum Linear Spaces, Comm. Algebra, Vol. 39(12) (2011), 4518-4535. (doi:10.1080/00927872.2011.616430)
21. A. Ardizzoni and F. Stumbo, Quadratic Lie Algebras, Comm. Algebra, Vol. 39(8) (2011), 2723-2751. (doi:10.1080/00927872.2010.489917)
20. A. Ardizzoni, On the Combinatorial Rank of a Graded Braided Bialgebra, J. Pure Appl. Algebra, 215 (2011) 2043-2054. (doi:10.1016/j.jpaa.2010.11.014)
19. A. Ardizzoni, A Milnor-Moore Type Theorem for Primitively Generated Braided Bialgebras, J. Algebra, Vol. 327(1) (2011), 337-365. (doi:10.1016/j.jalgebra.2010.07.031)
18. A. Ardizzoni, M. Beattie and C. Menini, Cocycle Deformations for Hopf Algebras with a Coalgebra Projection, J. Algebra, Vol. 324(4) (2010) 673–705. (doi:10.1016/j.jalgebra.2010.04.027)
17. A. Ardizzoni and C. Menini, Small Bialgebras with a Projection: Applications, Comm. Algebra, Vol. 37(8) (2009), 2742-2784. (doi:10.1080/00927870802623419)
16. A. Ardizzoni and C. Menini, Some Remarks on Connected Coalgebras, Algebr. Represent. Theory, Vol. 12 (2009), 235-249. (doi:10.1007/s10468-009-9147-4)
15. A. Ardizzoni, C. Menini and D. Ştefan, Braided Bialgebras of Hecke-type, J. Algebra, Vol. 321 (2009), 847-865. (doi:10.1016/j.jalgebra.2008.11.011)
14. A. Ardizzoni and C. Menini, Braided Bialgebras of Type One, Comm. Algebra, Vol. 36(11) (2008), 4296-4337. (doi:10.1080/00927870802157673 )
13. A. Ardizzoni, Wedge Products and Cotensor Coalgebras in Monoidal Categories, Algebr. Represent. Theory, Vol. 11(5) (2008), 461-496. (doi:10.1007/s10468-008-9089-2)
12. A. Ardizzoni, Separable Functors and formal smoothness, J. K-theory, Vol. 1 (2008), 535-582. (doi:10.1017/is007011015jkt012)
11. A. Ardizzoni and C. Menini, A categorical proof of a useful result, in "Modules and Comodules" Proceedings of a conference dedicated to Robert Wisbauer. Edited by T. Breziński, J. L. Gómez Pardo, I. Shestakov and P. F. Smith. Trends in Math Vol. XII, Birkhäuser Verlag, Basel, 2008, 31-45. (doi:10.1007/978-3-7643-8742-6_2)
10. A. Ardizzoni, T. Brzeziński and C. Menini, Formally Smooth Bimodules, J. Pure Appl. Algebra, Vol. 212(5) (2008), 1072-1085. (doi:10.1016/j.jpaa.2007.09.004).
9. A. Ardizzoni, G. Böhm and C. Menini, A Schneider type Theorem for Hopf Algebroids, J. Algebra, Vol. 318(1) (2007), 225-269. (doi:10.1016/j.jalgebra.2007.05.017); Corrigendum to ''A Schneider type Theorem for Hopf Algebroids'' [J. Algebra 318 (2007) 225-269], ibidem, Vol. 321(6) (2009), 1786-1796. (doi:10.1016/j.jalgebra.2008.11.040)
8. A. Ardizzoni, C. Menini and D. Ştefan, Weak Projections onto a Braided Hopf Algebra, J. Algebra, Vol. 318(1) (2007), 180-201. (doi:10.1016/j.jalgebra.2007.04.009)
7. A. Ardizzoni, C. Menini and F. Stumbo, Small Bialgebras with a Projection, J. Algebra, Vol. 314(2) (2007), 613-663. (doi:10.1016/j.jalgebra.2007.04.008)
6. A. Ardizzoni, C. Menini and D. Ştefan, Cotensor Coalgebras in Monoidal Categories, Comm. Algebra, Vol. 35(1) (2007), 25-70. (doi:10.1080/00927870600936856)
5. A. Ardizzoni, The Heyneman-Radford Theorem for Monoidal Categories, J. Algebra, Vol. 308 (2007), 63-72. (doi:10.1016/j.jalgebra.2006.06.006)
4. A. Ardizzoni, C. Menini and D. Ştefan, A Monoidal Approach to Splitting Morphisms of Bialgebras, Trans. Amer. Math. Soc., 359 (2007), 991-1044. (doi:10.1090/S0002-9947-06-03902-X)
3. A. Ardizzoni, C. Menini and D. Ştefan, Hochschild Cohomology And ‘Smoothness’ In Monoidal Categories, J. Pure Appl. Algebra, Vol. 208 (2007), 297-330. (doi:10.1016/j.jpaa.2005.12.003).
2. A. Ardizzoni, S. Caenepeel, C. Menini and G. Militaru, Naturally Full Functors in nature, Acta Math. Sin. (Engl. Ser.), Vol. 22 (2006), 233-250. (doi:10.1007/s10114-005-0561-1)
1. A. Ardizzoni, The Category of Modules over a Monoidal Category: Abelian or not?, Ann. Univ. Ferrara - Sez. VII - Sc. Mat., Vol. L (2004), 167-185. (doi:10.1007/BF02825349)
PH.D. THESIS
PH.D. THESIS
0. A. Ardizzoni, Cohomological Properties of Algebras and Coalgebras in Monoidal Categories with Applications, Ph. D. Thesis, Università degli Studi di Ferrara (Italy), March 15, (2006). (pdf)
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