Publicaciones y prepublicaciones

1. [M. Farinati - G. Gutierrez] The Tits construction for short sl2-superstructures https://arxiv.org/pdf/2411.17031.
2. [M. Farinati] Biracks: a notational proposal and applications https://arxiv.org/pdf/2407.07650.
3. [M. Farinati - P. Jancsa] BV - Algebras with Applications to Lie Bialgebras and Poisson Cohomology. http://arxiv.org/abs/2306.02004.
4. [S. Covez - M. Farinati - V. Lebed - D. Manchon] Bialgebraic aproach to rack cohomology, ArXiv:math/1905.02754, Algebraic and Geometric Topology 23 (2023), pages 1551-1582 DOI: 10.2140/agt.2023.23.1551.
5. [M. Farinati] Universal quantum (semi)groups and Hopf envelopes: Erratum, https://arxiv.org/abs/2207.03528"
6. [M. Farinati] Universal quantum (semi)groups and Hopf envelopes, ArXiv:math/008.099370, Algebras and Representation Theory (2022). https://doi.org/10.1007/s10468-022-10122-9.
7. [M. Farinati - J. Garcia Galofre] Universal cocycle Invariants for singular knots and links, Journal of Knot Theory and Its RamificationsVol. 31, No. 09, 2250055 (2022). ArXiv:math/1910.04042.
8. [M. Farinati] Hopfological algebra for infinite dimensional Hopf algebras, ArXiv:math/1904.10430. Algebras and Representation Theory volume 24, pages 1325-1357 (2021).
9. [M. Farinati - Gastón A. García] Quantum function algebras from finite-dimensional Nichols algebras, ArXiv:math/1805.11736, Journal of Non Commutative Geometry vol 14(3), (2020), 879-911.
10. [J. Beltran - M. Farinati - E. G. Reyes] Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras, Journal of Pure and Applied Algebra Volume 222, Issue 8, August 2018, Pages 2006-2021
11. [M. Farinati - J. Garcia Galofre] Virtual link and knot invariants from non-abelian Yang-Baxter 2-cocycle pairs, ArXiv:math/1707.01138, Osaka Journal of Mathematics 56(3) (2019) 525-547.
12. [S. Covez - M. Farinati - D. Manchon] Bialgebraic proof of the existence of cup-product in the cohomology of racks and quandles, arXiv:math/1707.01138
13. [M. Farinati - P. Jancsa] Lie bialgebra structures on 2-step nilpotent graph algebras, Journal of Algebra Volume 505, 1 July 2018, Pages 70-91. ArXiv:math/1602220
14. [M. Farinati - J. Garcia Galofre] A differential bialgebra associated to a set theoretical solution of the Yang-Baxter equation, Journal of Pure and Applied Algebra Volume 220, Issue 10, 2016, Pages 3454-3475. ArXiv:math/1508.07970.
15. [M. Farinati - J. Garcia Galofre] Link and knot invariants from non-abelian Yang-Baxter 2-cocycles, Journal of Knot Theory and its Ramifications, 2016, Vol 25 Nro. 13. ArXiv:math/1507.02232.
16. [M. Farinati - L. Lombardi] A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras, Journal of Algebra 427,1 (2015), pp. 295-316. ArXiv:math/1404.5225.
17. [M. Farinati - A.P. Jancsa] Trivial central extensions of Lie bialgebras, Journal of Algebra 390 (2013) 56-76 ArXiv:math/1110.1072.
18. [M. Farinati - J. Guccione - J.J. Guccione] The homology of free racks and quandles, Comm. in Algebra (2014) 42, pp. 3593-3606.
19. [M. Farinati - A.P. Jancsa] Three dimensional real Lie bialgebras Revista de la U.M.A. Vol 56,1, (2015). ArXiv:math/1007.3796.
20. [M. Farinati - J.A. Guccione - J.J. Guccione] The cohomology of monogenic extensions in the noncommutative setting ArXiv:math.KT/0702390. Journal of Algebra Volume 319, Issue 12, 15 June 2008, Pages 5101-5124. ISSN 0021-8693
21. [M. Farinati] Hochschild duality, localization and smash products. ArXiv:math.KT/0409039. Journal of Algebra. Volume 284, Issue 1, 1 (2005), 415-434.
22. [M. Farinati - A. Solotar] G-Structure on the cohomology of Hopf algebras. ArXiv:math.KT/0207243, Proc. Amer. Math. Soc. 132 (2004), 2859-2865. ISSN 0002-9939.
23. [M. Farinati - A. Solotar - M. Suárez Álvarez] Hochschild homology and cohomology of generalized Weyl algebras. ArXiv:math.KT/0109025. Annales de l'institut Fourier - Grenoble Tome 53 fasc. 2 pp. 465-488 (2003). ISSN 0373-0956.
24. [M. Farinati] On the derived invariance of cohomology theories for coalgebras. Algebras and Representation Theory 6(3) pp. 303-331 (2003). ISSN 1386-923X. Version preliminar en ArXiv:math.KT/0006060
25. [M. Farinati] Teorías de cohomologia de coálgebras, tesis de doctorado, FCEyN - UBA 1999.
26. [M. Farinati - A. Solotar] Smoothness of coalgebras and higher degrees of Hoch^*. J. of Pure and Applied Alg. Vol. 169 Nro. 2 y 3 (2002) pp. 201-214. ISSN 0022-4049.
27. [M. Farinati - A. Solotar] Extensions of coalgebras and a Hochschild - Kostant - Rosenberg type theorem. Comm. in Alg. 29, Nro. 10, pp. 4721-4758 (2001).ISSN 0092-7872.
28. [J. Alev - M. Farinati - T. Lambre - A. Solotar] Homologie des invariants d'une algèbre de Weyl sous l'action d'un groupe fini. J. of Alg. 2000, 232 (2) pp. 564 - 577. ISSN 0021-8693.
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29. [M. Farinati - A. Solotar] Cyclic cohomology of coalgebras, coderivations and De Rham cohomology. In "Hopf algebras and quantum groups, Lect. Notes in Pure and Applied Math. (Marcel Dekker) 209 pp. 105 - 130, 2000. ISBN 0-8247-0395-2/pbk.
30. [M. Farinati - A. Solotar] Localization on (necessarily) topological coalgebras. Journal of Alg. 208(2) pp. 575 - 603, 1998. ISSN 0021-8693.
31. [M. Farinati - A. Solotar] On the Picard group of involutive algebras and coalgebras. Comm. in Alg. 26(7) pp. 2115 - 2138, 1998. ISSN 0092-7872.
32. [M. Farinati - A. Solotar] Morita - Takeuchi equivalence, cohomology of coalgebras and Azumaya coalgebras . In "Rings, Hopf algebras and Brauer groups", Lect. Notes Series (Marcel Dekker) 197 pp. 119 - 146, 1998.ISBN 0-8247-0153-4/pbk.
33. [M. Farinati - A. Solotar] Morita equivalence for positive Hochschild homology and dihedral homology. Comm. in Alg. 24(5) pp. 1793 - 1807, 1996. ISSN 0092-7872.