Publications

Claudia Menini - List of Publications

 

PREPRINTS




PUBLISHED

92.    Liu L., Makhlouf A.,  Menini C., Panaite F., BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators , Results Math  78, 251 (2023). https://doi.org/10.1007/s00025-023-02024-z 


91.    C. Menini, , B. Torrecillas  Separable cowreaths over Clifford AlgebrasAdv. Appl. Clifford Algebr. , 33 (2), 1-51 (2023) online open access https://rdcu.be/c7r8K 


90.  A. Ardizzoni, I. Goyvaerts, C. Menini, Pre-Rigid Monoidal Categories,  Quaest. Math.,46(8),1503-1546  (2023). (doi:10.2989/16073606.2022.2112106)(arXiv:2201.03952

89.    A. Ardizzoni, I. Goyvaerts, C. Menini, Liftable Pairs of Functors and Initial Objects, , Rend. Circ. Mat. Palermo, II. Ser 72,1879–1918 (2023). (doi:10.1007/s12215-022-00765-4) (arXiv:1702.00224)

88.    Ardizzoni A.,  Menini C., Monadic vs Adjoint Decomposition, J. Pure Appl. Algebra, Volume 226, Issue 8, August 2022, 106945. (doi:10.1016/j.jpaa.2021.106945) (arXiv:1911.11527v2)

87.    Liu L., Makhlouf A.,  Menini C., Panaite F., Tensor products and perturbations of BiHom-Novikov-Poisson algebrasJournal of Geometry and Physics, Vol161 (2021 ) (arXiv:2007.09016)

86.    Liu L., Makhlouf A.,  Menini C., Panaite F., BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras, Georgian Mathematical JournalVol. 28 (2021), 581-594  (arXiv:1706.00474)

85.   Menini C., Torrecillas B., Heavily Separable Cowreaths , J.Algebra, Vol. 583  (2021), 153-186 . https://doi.org/10.1016/j.jalgebra.2021.05.003

84.   Liu L., Makhlouf A.,  Menini C., Panaite F., BiHom-Novikov algebras and infinitesimal BiHom-bialgebras , J.Algebra, Vol. 560  (2020), 1146-1172 https://doi.org/10.1016/j.jalgebra.2020.06.012. . ( arXiv:1903.08145)

83.   Liu L., Makhlouf A.,  Menini C., Panaite F., Rota-Baxter operators on BiHom-associative algebras and related structures , Colloq. Math., Vol. 161 (2020), 263-294. (arXiv:1703.07275v)

82.  Liu L., Makhlouf A.,  Menini C., Panaite F., {sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation ,Canadian Math. Bull, (2019), Vol.62, 355-372, (arXiv:1802.07287) (doi:10.4153/CMB-2018-028-8).

81.  A. Ardizzoni, C. Menini, Heavily Separable Functors,J.Algebra, Vol. 543 (2020), 170-197. (doi:10.1016/j.jalgebra.2019.10.008). (arXiv:1812.07272)

80.  A. Ardizzoni, I. Goyvaerts, C. Menini , Restricted Lie algebras via monadic decomposition, Algebr. Represent. Theory (2018), Vol. 21, 703–716. (doi:10.1007/s10468-017-9734-8) (arXiv:1510.02587)

79.  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. (arXiv:1509.04844).

78. 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) (arXiv:1401.2037)

77. G. Graziani, A. Makhlouf, C. Menini and F. Panaite, BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras, Symmetry Integr.Geom.,  Vol. 11 (2015), 086, 34 pages ( http://www.emis.de/journals/SIGMA/2015/086/)

76. A. Ardizzoni, J. Gómez-Torrecillas and C. Menini, Monadic Decompositions and Classical Lie Theory, Appl. Categor.Struct., Vol. 23 (01) (2015) 93-105.(doi:10.1007/s10485-013-9326-7)  (arXiv:1203.2881)

75. A. Ardizzoni, M. Beattie and C. Menini, Quantum Lines for Dual Quasi-Bialgebras, Algebr. Represent. Theory, Vol. 18 (01) (2015) 35-64. (doi:10.1007/s10468-014-9478-7)(arXiv:1312.2097)

74. A. Ardizzoni and C. Menini, Adjunctions and Braided Objects, J. Algebra Appl. Vol. 13 (06) (2014), 1450019 (47 pages).(doi:10.1142/S0219498814500194)(arXiv:1304.3592)

73. 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. (arXiv:1302.2453)

72.  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)

71.  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) (arXiv:1004.4572v1)

70.  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).(arXiv:1012.4935)

69.  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) (arXiv:1011.0648)

68.  A. Ardizzoni and C. Menini, Associated Graded Algebras and Coalgebras,  Comm. Algebra, Vol. 30(3) (2012), 862-896. (doi:10.1080/00927872.2010.540286) (arXiv:0704.2106v3)

67.  G. Böhm and C. Menini, Pre-torsors and Galois comodules over mixed distributive laws, Appl. Categor.Struct.,Vol. 19 (2011) 597–632. (arXiv:0806.1212v2)

66.  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). (arXiv:0906.0239v2))

65. A. Ardizzoni and C. Menini, Small Bialgebras with a Projection: Applications, Comm. Algebra,  Volume 37(8) (2009), 2742-2784.   (arXiv:0705.3522v1)

64.  A. Ardizzoni and C. Menini, Some Remarks on Connected Coalgebras , Algebr. Represent. Theory, Vol. 12 (2009), 235-249. (Pdf) (doi:10.1007/s10468-009-9147-4)

63.  A. Ardizzoni, C. Menini and D. Stefan, Braided Bialgebras of Hecke-type, J. Algebra, Vol. 321 (2009), 847-865. (doi:10.1016/j.jalgebra.2008.11.011)

62.  A. Ardizzoni and C. Menini, Braided Bialgebras of Type One, Comm. Algebra, Vol. 36(11) (2008), 4296-4337. (doi:10.1080/00927870802157673 ) (arXiv:0705.3522v1)

61.  A. Ardizzoni and C. Menini, A categorical proof of a useful result,  in "Modules and Comodules" Proceedings of a conference dedicated to Robert Wisbauer, T. Breziński, J. L. Gomez Pardo, I. Shestakov and P. Smith Eds.,  Trends in Math Vol. XII, Birkhäuser Verlag, Basel, 2008, 31-45.  (Pdf)

60.  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). (arXiv:math.RA/0701473)

59. 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).(arXiv:math.QA/0612633)

58. A. Ardizzoni, C. Menini and D. Stefan, Weak Projections onto a Braided Hopf Algebra, J. Algebra Vol. 318(1) (2007), 180-201., (doi:10.1016/j.jalgebra.2007.04.009)., (arXiv.math.QA/0610273).

57. 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) (Pdf)

56. A. Ardizzoni, C. Menini and D. Stefan, Cotensor Coalgebras in Monoidal Categories,  Comm. Algebra, Vol. 35, N. 1 (2007), 25-70. (available online at doi:10.1080/00927870600936856)arXiv:math.QA/0507334. 

55.   A. Ardizzoni, C. Menini and D. Stefan , A Monoidal Approach to Splitting Morphisms of Bialgebras, Trans. Amer. Math. Soc., 359 (2007), 991-1044.

(available online at PII: S 0002-9947(06)03902-X). (Pdf).

54. A. Ardizzoni, C. Menini and D. Stefan, Hochschild Cohomology And 'Smoothness' In Monoidal Categories, J. Pure Appl. Algebra, Vol. 208 (2007), 297-330. (doi:10.1016/j.jpaa.2005.12.003)(Pdf).

53. 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) (Pdf).

52. C. Menini and G. Militaru, The affiness criterion for Doi-Kopinnen modules  in "Hopf algebras in non-commutative geometry and physics", S. Caenepeel and F. Van Oystaeyen (eds.), Lecture Notes in Pure and Applied Mathematics 239, Marcel Dekker, New York, 2004. (Pdf).

51. C. Calinescu, S. Dascalescu A. Masuoka and C. Menini,  Quantum Lines over Non- Commutative Cosemisimple Hopf Algebras, J. of Algebra, 273, (2004), 753-779. (Pdf).

50. C. Menini and D. Stefan, Descent Theory and Amitsur Cohomology of Triples, J. of Algebra, 266, (2003), 261-304. (Pdf).

49. P. N. Anh, D. Herbera and C. Menini, "Baer Duality for Commutative Rings", Forum Math., 14, (2002), 47-63.(Pdf).

48. C. Menini and G. Militaru, Integrals, quantum Galois extensions and the affiness criterion for quantum Yetter-Drienfel'd modules, J. of Algebra ,247, (2002), 467-508. (Pdf).

47. C. Menini, A. Seidel, B. Torrecillas and R. Wisbauer, A-H-bimodules and Equivalences , Comm. Algebra, 29, (2001), 4619-4640. (Pdf).

46. G. Abrams and C. Menini, "Embedding modules in graded modules over a semigroup-graded ring", Comm. Algebra, 29, (2001), 2611-2625. (Pdf).

45. C. Menini, B. Torrecillas and R. Wisbauer , Strongly Rational Comodules and Semiperfect Hopf Algebras over QF rings, J. Pure Appl. Algebra, 155, (2001), 237-255. (Pdf).

44. P. N. Anh, D. Herbera and C. Menini, "Baer and Morita duality", J. of Algebra, 232, (2000), 462-484.

43. C. Menini and S. Raianu,  Morphisms of Relative Hopf Modules, Smash Products and Duality, J. of Algebra, 219, (1999), 547-570. (Pdf).

42. G. Abrams and C. Menini, "Coinduction for Semigroup-Graded Rings", Comm. Algebra, 27, (1999), 3283-3301. (Pdf).

41. P. N. Anh, D. Herbera and C. Menini, "AB-5* for module and ring extensions", in "Abelian Groups, Module Theory and Topology. Proceedings in Honour of Adalberto Orsatti's 60th Birthday", Marcel Dekker (edts. D. Dikranjan and L. Salce), Lecture Notes in Pure and Applied Mathematics, 201, Marcel Dekker, (1998), 59-68.

40. C. Menini, "Orsatti's contribution to module theory", in "Abelian Groups, Module Theory and Topology. Proceedings in Honour of Adalberto Orsatti's 60th Birthday", Marcel Dekker (edts. D. Dikranjan and L. Salce), Lecture Notes in Pure and Applied Mathematics, 201, Marcel Dekker, (1998), 9-18. (Pdf).

39. P. N. Anh, D. Herbera and C. Menini, "AB-5* and linear compactness", J. of Algebra, 200, (1998), 99-117.

38. C. Menini and M. Zuccoli,  Equivalence Theorems and Hopf-Galois Extensions, J. Algebra, 194, (1997), 245-274. (Pdf).

37. G. Abrams and C. Menini, "Skew semigroup rings", Beitrage zur Algebra und Geometrie, 37 (2), (1996), 209-230.

36. G. Abrams and C. Menini, " Categorical equivalences and realization theorems", J. Pure Appl. Algebra, 113, (2), (1996), 107-120. (Pdf).

35. G. Abrams and C. Menini, " Rings of endomorphisms of semigroup-graded modules", Rocky Mtn.J.Math, 26, (2), (1996), 375-406.

34. G. Abrams and C. Menini, "Duality Theorems for Finite Semigroups", J. Pure Appl. Algebra, 109, (1), (1996), 1-22.

33. G. Abrams, C. Menini and A. del Rio Mateos, "Realization theorems for categories of graded modules over semigroup-graded rings", Comm. Algebra, 22, (13), (1994), 5343-5388.

32. C. Menini and C. Nastasescu, "When are Induction and Coinduction functors isomorphic? ", Bull. of the Belgian Math. Soc. - Simon Stevin, 1 , (4), (1994), 521-558.

31. P. N. Anh and C. Menini, "Morita dualities for rings with local units", J. Algebra, 164, (1994), 632-641.

30. C. Menini, "Functors between categories of graded modules. Applications", Bull. de la Soc. Math. de Belgique, Serie B, 45, (3), (1993), 297-315.

29. R. Colpi and C. Menini, "On the structure of *-modules", J. Algebra, 158, (1993), 400-419.

28. C. Menini and A. del Rio Mateos, "Morita dualities and graded rings", Comm. Algebra, 19, (1991), 1765-1794.

27. C. Menini and C. Nastasescu, "Gr-simple modules and gr-Jacobson radical", Bull. Math. Soc. Sc. Math. Roumanie, 34, (1990), 25-36 e 125-133.

26. C. Menini, "On the injective envelope of a graded module", Comm. Algebra, 18, (1990), 1461-1467.

25. C. Menini and A. Orsatti , "Representable equivalences between categories of modules and applications", Rend. Sem. Mat. Univ. Padova, 82, (1989), 203-231.

24. C. Menini , "Gabriel-Popescu type theorems and graded modules", Proceeding N.A.T.O. Meeting "Perspectives in ring theory", Kluwer Academic Publishers, (1988). 239-251.

23. C. Menini, "Cohen-Macaulay and Gorenstein finitely graded rings", Rend Sem. Mat. Univ. Padova, 79, (1988), 123-152.

22. C. Menini and C. Nastasescu, "When is R-gr equivalent to the category of modules?" , J. Pure Appl. Algebra, 51, (1988), 277-291.

21. C. Menini, "Anelli estensioni banali e anelli di matrici triangolari", Sem. di Geom. Univ. Bologna 1986, (1988), 99-129.

20. C. Menini and A. Orsatti, "Dualities between categories of topological modules and their applications", Monografia.

19. C. Menini and A.Orsatti, "The basic ring of a locally Artinian category and applications", Arch. Math., 49, (1987), 484-496.

18. C. Menini, "Finitely graded rings, Morita duality and Self-injectivity", Comm. Algebra, 15, (1987), 1779-1797.

17. C. Menini, "On a question concerning locally artinian categories", Comm. Algebra, 15, (1987), 1357-1363.

16. C. Menini, "Jacobson's conjecture, Morita duality and related questions", J. Algebra, 103, (1986), 638-655.

15. C. Menini, "A characterization of linearly compact modules", Mathematische Annalen, 271, (1985), 1-11.

14. M. Idà and C. Menini, "A rigidity theorem for homogeneus rational manifolds of rank 1", Ann. Mat. Pura e Applicata, (IV), Vol. CXLI, (1985), 265-276.

13. C. Menini and A. Orsatti, "Topologically left artinian rings", J. Algebra, 93, (1985), 475-508.

12. G. D'Este and C. Menini, "A remark on left pseudo-artinian rings", in "Abelian Groups and Modules", CISM Courses and Lectures No. 287, Springer-Verlag, Wien-New York , (1984), 477-490.

11. C. Menini and G. Parigi, "Les fibrés de Seifert dans la simplification par les courbes elli- ptiques", Comm. Math. Helvetici, 59, (1984), 123-135.

10. C. Menini, "Linearly compact rings and selfcogenerators", Rend. Sem. Mat. Univ. Padova, 72, (1984), 99-116.

9. C. Menini, "The minimal splitting field for a finite rank torsion free module over an almost maximal valuation domain", Comm. Algebra, 11, (1983), 1803-1816.

8. C. Menini and A. Orsatti, "Dualities between categories of topological modules", Comm. Algebra, 11, (1983), 21-66.

7. C. Menini and A. Orsatti, "Good dualities and strongly quasi-injective modules", Ann. Mat. Pura e Applicata, Vol. CXXVII, (1981), 187-230.

6. C. Menini, "On the first non vanishing local cohomology module", Ann. Univ. Ferrara, -Sez. VII - Sc. Mat., Vol. XXVIII, (1981), 21-34.

5. C. Menini, "Linearly Compact Rings and Strongly Quasi-Injective Modules", Rend. Sem. Mat. Univ. Padova, 65, (1980), 251-262; "Errata-Corrige "Linearly Compact Rings and Strongly Quasi-Injective Modules"", Ibidem, 69, (1983), 305-306.

4. C. Menini, "On the converse of a theorem by Eagon and Northcott about finite free resolutions", Ferrara, (1980).

3. C. Menini and A. Orsatti, "Duality over a quasi-injective module and commutative F-reflexive rings", Symposia Mathematica, Vol. XXIII, (1979), 145-179.

2. C. Menini, "On E-compact modules over SISI-rings", Ann. Univ. Ferrara, -Sez. VII - Sc. Mat., Vol. XXIII, (1977), 145-179.

1. C. Menini, "Topologie di caratteri per moduli su anelli Noetheriani", Ann. Univ. Ferrara, -Sez. VII - Sc. Mat., Vol. XXIII, (1977), 45-58.

ABSTRACTS

C. Menini, "Equivalences theorems and Hopf-Galois extensions", Abstracts of the A. M. S., 17, (4), 1996.

C. Menini, "Equivalences theorems and Hopf-Galois extensions", Preprint num.352, Marc 1997, Centre de Recerca Matematica, Barcelona.

BOOKS

2. C. Menini and F. Van Oystaeyen, "Abstract Algebra, A comprehensive Treatment" Pure and Applied Mathematics series n. 263", Marcel Dekker, Inc., New York - Basel, 2004.

1. A. Facchini and C. Menini - "Abelian Groups and Modules, Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994", Kluwer Academic Publishers, Dordrecht / Boston / London , 1995.