
Sonia Trepode
Full Time Professor
PhD in Mathematics. USP.
Bachelor in Mathematics. UNMDP.
Main Researcher of CONICET
Director of CEMIN (Centro Marplatense de Investigaciones Matemáticas)

PREPRINTS:
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Fernández, E. García Elsener, A. and Trepode, S. m-cluster tilted algebras of euclidean type. (2018) arXiv:1801.04989.
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Assem, I., Skowronski, A and Trepode, S. Invariance of representation dimension under socle equivalence of selfinjective algebras. arXiv:1710.02567v1
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Bordino, N., Fernández, E. and Trepode, S. A criterion for global dimension two for strongly simply connected algebras. arXiv:110.6160
PUBLICATIONS:
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Chaio, C. Le Meur, P. and Trepode, S. Degrees of irreducible morphisms over perfect fields. arXiv:1704.03933. To appear in Algebras and Representation Theory.
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Chaio, C., Le Meur, P. and Trepode, S. Covering thecniques for Auslander Reiten Theory. arXiv:1412.018. To appear in Journal of Pure and Applied Algebra.
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Castonguay, D., Chaio, C. and Trepode, S. The fundamental group of algebras with strongly simly connected Galois covering. to appear in Journal of Algebra and Applications.
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Assem, I. Souto Salorio, M. J., and Trepode, S. Split t-structures and torsion theories in hereditary categories. arXiv:1704.00858v1 to appear in Journal of Algebra and Applications.
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Gonzalez Chaio. A. and Trepode S. On the representation dimension of tame cluster tilted algebras. arXiv:1705.06357v1. to appear in Boletim da Sociedade Paranaense de Matematica.
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Assem, I., Skowronski, A. and Trepode, S. The representation dimension of selfinjective algebras of wild type. Journal of Algebra 477 (2017)163-194 .
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Bordino, N., Fernández, E. and Trepode, S. On the quiver with relations of a quasitilted algebra and applications. Communications in Algebra Vol 45 Issue 9 (2017) 4050-4061.
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Trepode, S. and Valdivieso-Diaz, Y. On finite dimensional Jacobian algebras. Boletín de la Sociedad Matemática Mexicana (3) 23 (2017), no. 2, 653–666. doi:10.1007/s40590-015-0082-6.
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Assem, I., Skowronski, A. and Trepode, S. The representation dimension of a selfinjective algebras of euclidean type. Journal of Algebra 459 1 (2016) 157-188.
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Aquino, R., Marcos, E. and Trepode, S. On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra. Journal of Algebra and Applications 13 4 (2014) 1350136.
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Fernández, E., Pratti, I. and Trepode.S. m-Cluster tilted algebras and trivial extensions. Journal of Algebra 393 (2013) 132–141.
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Gonzalez Chaio. A. and Trepode, S. Representation dimension of cluster-concealed algebras. Algebras and Representation Theory. August 2013, Volume 16, Issue 4, pp 1001-1015
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Barot, M. and Trepode, S. Cluster tilted algebras with a cyclically oriented quiver. Communications in Algebra. Volume 41, Issue 10, October 2013, pages 3613-3628
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.Souto, M. J. and Trepode, S. Clasifications of t-structures in the derived category of the Kronecker Algebra. Applied Categorical Structures. Volume 20, Issue 5 (2012), Page 513-529.
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Chaio, C., Le Meur, P. and Trepode, S. Degree of irreducible morphisms and finite representation type. Journal of the London Mathematical Society 84( 1)(2011) 35.57.
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Chaio, C., Platzeck, M. I. and Trepode, S. The composite of irreducible morphisms in regular components. Colloquium Mathematicum Vol 123 27-47 (2011).
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Assem, I., Ribeiro Alvares, E., Coelho, F, Peña, M. I. and Trepode, S. From trisections to quasi-directed components. Journal o Jf Algebra and its Applications. Vo1 10 (3) (2011) 409-433
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.Chaio, C. , Souto, M. J. and Trepode, S. The composite of irreducible morphisms in the derived category. Journal of Pure and Applied Algebra 215 (2011) 2957–2968.
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Barot, M., Fernández, E., Platzeck, M. I. Pratti, N. I. and Trepode, S. From iterated tilted to cluster tilted algebras. Advances in Mathematics 223 (2010) 1468-1494. arXiv:0811.1328.
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Chaio, C. and Trepode, S. On the composite of irreducible morphisms in standard components. Journal of Algebra 323, Issue 4, (2010) 1000-1011.
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Chaio, C. Coelho, F. and Trepode, S. On the composite of three irreducible morphisms over string algebras. Atas da ICRA XIII, Sao Paulo Mathematical Journal VOL 4 NO 2, (2010).
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Assem, I. Coelho, F. ad Trepode, S. Contravariantly finite subcategories closed under predecessors. Journal of Algebra Volume 322, Issue 4, 15 , Pages 1196-1213 (2009)
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Chaio, C, Ribeiro Alvares, E. And Trepode, S. On Auslander-Reiten components with bypasses. Comm in Algebra Vol 37, Tomo 7, (2009) 2213-2224.
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Coelho, F., de la Peña. J. A. and Trepode, S. On Minimal non tilted algebras. Colloquium Mathematicum Vol 111 71-84 (2008).
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Assem., I. Coelho, F. and Trepode, S. The bound quiver of a split extension. Journal of Algebra and Applications Vol. 7, No. 6 (2008) 831–834.
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Coelho, F., de la Peña, J. A. and Trepode, S. Tilt-critical algebras of tame type. Comm. in Álgebra.Volume 36, Number 9, September 2008 , pp. 3574-3584.
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Coelho, F , de la Pena, J. A. and Trepode, S.Non-quasitilted Tilt critical algebras. Proceedings of the XVI Coloquio Latinoamericano de Algebra. Revista Matemática Iberoamericana.
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Assem, I., Souto, M.J. and Trepode, S. Ext-projectives in suspended subcategories. A Journal of Pure and Applied Algebra 212 (2008) 423-434.
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Chaio, C, Coelho, F and Trepode, S. On the composite of irreducible morphisms on quasi-sectional paths.Journal of Pure and Applied Algebra Volume 212, Issue 1, January 2008, Pages 244-261.
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Assem, I, Happel, D and Trepode, S. Extending the poset of tilting modules of by projectives. Comm. in Algebra. Volume 35 (2007) Issue 10, 2983—3006.
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Chaio, C, Coelho, F and Trepode, S. On the composite of two irreducible morphisms at the radical cube.Journal of Algebra (2007) Volume 312, Issue 2, 15, pages 650-667.
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Assem, I, Castonguay, D, Marcos, E and Trepode, S. On incidence Algebras and the Euler Characteristic. Comm. Algebra ( 2007); Volume 35 No. 4 Pages 1075 – 1086
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Assem, I, Cappa, J, Platzeck M I and Trepode, S. Some characterizations of left supported algebras.Journal of Pure and Applied Algebra.Vol 208 3(2007) 1121-1135.
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Assem, I., Platzeck, M. I. and Trepode, S. On the representation dimension of tilted and laura algebras. Journal of Algebra 296 (2)(2006) (426-439).
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Assem, I., Cappa, J., Platzeck M. I. and Trepode, S. On the Auslander- Reiten components of left supported algebras. Revista de la Union Matematica Argentina Vol 46 N 2 19-33 (2005).
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Chalom, G. and Trepode, S. On the representation type of one point extensions of iterated tubular algebras.Boletim da Sociedade Paranaense de Matematica. V.231-2(2005) 51-64.
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Assem, I., Coelho, F., Lanzilotta , M., Smith, D. and Trepode, S. On algebras determined by its left and right parts. Contemporary Mathematics (AMS) Vol 376 (2005) 13-47
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Assem, I., Castonguay, D., Marcos, E. and Trepode, S. On strongly simply connected algebras and multiplicative bases. Journal of Algebra 283 (2005) 161-189.
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Assem, I., Coelho, F. and Trepode, S. On the left and right part of a module category. Journal of Algebra281 N 2(2004) 518-534.
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Chaio, C., Platzeck, M. I. and Trepode, S. On the degree of irreducible morphisms. Journal of Algebra 281 N 1 (2004) 200-224.
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Assem, I., Platzeck, M. I., Redondo, M. J. and Trepode, S. Simply connected incidence algebras. Discrete Math. 269 N 1-3 333-355. (2003).
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Souto, M.J. and Trepode, S.t-structures and tilting theory. Comm. Algebra, Vol 31 number 12(2003) 6100-6114.
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Assem I, Coelho, F. and Trepode, S. Simply connected tame quasitilted algebras. Journal of Pure and Applied Algebra 172 (2002)139-160.
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de la Pena, J. A. and Trepode, S. Quasitilted one point extensions of tilted Algebras. Proceedings of ICRA IX. (Beijing 2000) Normal Beijing University Press. China (2002) 373-386.
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de la Peña, J. A. and Trepode, S. Quasitilted one point extensions of quasitilted Algebras by modules in stable tubes. Lectures Notes in Pure and Applied Mathematics. Marcel Dekker, Inc. 177-185. Cap 17.(2001).
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Assem, I, Happel, D. And Trepode, S.Tilting up iterated tilted algebras. Proceedings of the American Mathematical Society. 128 (2000), 2203-2212.
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Gastaminza, S.,de la Peña, J. A., Platzeck, M. I, Redondo, M. J. And Trepode, S. Finite Dimensional Algebras with vanishing Hochschild cohomology. Journal of Algebra. V 212. (1-16). (1999) .
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Trepode, S. La conjetura de Róldan en el caso An tilde. Proceeding del Tercer Congreso Monteiro (1995).