PREPRINTS:

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• Chaio, C. and Llodra Schat, N. Characterization of irreducible morphisms of degree three. Submited.

• Claudia Chaio, Isabel Pratti, María José Souto Salorio. On the degree in categories of complexes of fixed size”. . Submited.

• Claudia Chaio, Alfredo González Chaio; Isabel Pratti. On the representation type of a category of complexes of fixed size and the strong global dimension. . Submited.

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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.

• Chaio, C., Le Meur, P. and Trepode, S. Covering techniques for Auslander Reiten Theory.  arXiv:1412.018.  To appear in Journal of Pure and Applied Algebra.

• 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.

• Chaio, C.; Guazzelli, V. The radical of a module category of string algebra. Comm. Algebra 45 (2017), no. 12, 5338–5354.

• Chaio, C. Pratti, I. and Souto Salorio, M. J. On sectional paths in a category of complexes of fixed size. To appear in Algebras and Representation Theory. 20 (2017), no. 2, 289–311.

• Chaio, C. and Malicki, P. Degrees of irreducible morphism in generalized standard coherent almost cyclic components.  Communications in Algebra  45 (2017), no. 5, 1953–1968.

• Chaio, C. On the composition of irreducible morphisms.  Actas del XIII Congreso Dr. Antonio Monteiro 2015, (2016) 27-38.

• Chaio, C. and Malicki, P. Composition of irreducible morphisms in quasi-tubes. Journal of Algebra and its Applications 16 (2). Oberwolfach 2015 (3) (2015). 1-26.

• Chaio, C. Degree in Auslander-Reiten components with almost split sequences of at most two middle terms. Journal of Algebra and its Applications 14 (7) (2015) 1-26.

• Chaio,C. Degrees and composition of irreducible morphisms in almost pre-sectional paths. Algebras and Representation Theory 17 (2) (2014) 407-432.

• Chaio, C. A generalization of the composition of irreducible morphisms in regular components. Algebras and Representation Theory 18 (2) (2015) 323-337.

• Chaio, C. Problems solved by using degrees of irreducible morphisms.  Contemporary Mathematics 607, (2014)m 179.203.

• Chaio, C. and Liu, S. A note on the radical of a module category, Communications in Algebra 41 - 129 (2013), 4419-4424.

• Chaio, C., Malicki, P. and Skowronski. Degrees of irreducible morphisms in coherent almost cyclic Auslander-Reiten components. Journal of Algebra  391 (10) (2013) 125-151.

• Chaio, C., On the Harada and Sai Bound,  Bulletin of The London Math Soc. 44 (6) (2012) 1237-1245.  

• Chaio, C., Le Meur,  P. and Trepode,  Degrees of irreducible morphisms and finite representation type. Journal of the London Mathematical Society 84( 1)(2011) 35.57.

• Chaio, C., Platzeck, M. I. and Trepode, S. The composite of irreducible morphisms in regular components. Colloquium Mathematicum Vol 123 27-47 (2011).

• Chaio, C., Coelho, F. and Trepode, S. The composite of three irreducible morphisms in the fourth power of the radical. Communications in Algebra Vol 39 (2) 555-559 (2011).

• 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.

• Chaio, C. and Trepode, S.  The composite of irreducible morphisms in standard components. Journal of Algebra 323, Issue 4,  Pag. 1000-1011 (2010)

• 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). 

• Chaio, C., Degree of irreducible morphisms in standard components. Journal of Pure and Applied Algebra Volume 214. Pages 1063-1075. (2010)

• Chaio, C., Ribeiro Alvares, E. And Trepode, S. Auslander-Reiten components with sectional bypasses. Comm in Algebra Vol 37, Tomo 7, (2009) 2213-2224.

• Chaio, C., Coelho, F. and Trepode, S. On the composite of irreducible morphisms in almost sectional paths. Journal of Pure and Applied Algebra Volume 212, Issue 1, January 2008, Pages 244-261.

• Chaio, C., Coelho, F. and Trepode, S. On the composite of two irreducible morphisms in radical cube. Journal of Algebra (2007) Volume 312, Issue 2, 15,  pages  650-667.

• Chaio, C., Platzeck, M. I. and Trepode, S. On the degree of irreducible morphisms. Journal of Algebra 281 nro. 1 (2004) 200-224.