| I may be reached at jrgrozas@ual.es or by calling 950-215447. My fax number is 950-215480 |
My main mathematical interest is noncommutative algebra.
List of Ph.D. Student
Juan Cuadra Díaz
Sergio Estrada Domínguez
List of Publications
[1] García Rozas, J. R.; Torrecillas Jover, B. Regular sequences relative to Gabriel topologies. Bull. Soc. Math. Belg. Sér. A 45 (1993), no. 1-2, 153--165.
[2] García Rozas, J. R.; Torrecillas, B. Relative injective covers. Comm. Algebra 22 (1994), no. 8, 2925--2940.
[3] García Rozas, J. R.; Torrecillas, B. Preserving and reflecting covers by functors. Applications to graded modules. J. Pure Appl. Algebra 112 (1996), no. 1, 91--107.
[4] García Rozas, J. R.; Torrecillas, B. On the existence of covers by injective modules relative to a torsion theory. Comm. Algebra 24 (1996), no. 5, 1737--1748.
[5] García Rozas, J. R.; Torrecillas, Blas Torsion injective covers and resolvents. Tsukuba J. Math. 21 (1997), no. 3, 795--808.
[6] García Rozas, J. R.; Torrecillas, B. Covers of modules over a fixed ring. J. Algebra 197 (1997), no. 2, 479--491.
[7] Enochs, Edgar E.; García Rozas, J. R. Flat covers of complexes. J. Algebra 210 (1998), no. 1, 86--102.
[8] Enochs, Edgar E.; García Rozas, J. R. Gorenstein injective and projective complexes. Comm. Algebra 26 (1998), no. 5, 1657--1674.
[9] García Rozas, J. R.; Torrecillas, B. Existence of covers over fixed rings. Lecture Notes in Pure and Appl. Math., no.197, Dekker, (1998) 159--165.
[10] García Rozas, J. R.; Torrecillas, B. Preserving of covers by Hopf invariants. Comm. Algebra 27 (1999), no. 4, 1737--1750.
[11] Enochs, Edgar E.; García Rozas, J. R. Exact envelopes of complexes. Comm. Algebra 27 (1999), no. 4, 1615--1627.
[12] Enochs, Edgar E.; Rozas, J. R. García Tensor products of complexes. Math. J. Okayama Univ. 39 (1997), 17--39 (1999).
[13] García Rozas, J. R. Covers and envelopes in the category of complexes of modules. Chapman & Hall/CRC Research Notes in Mathematics, 407. Chapman & Hall/CRC, Boca Raton, FL, 1999. ISBN: 1-58488-004-X.
[14] Enochs, Edgar E.; García Rozas, J. R.; Oyonarte, L. Covering Morphisms. Comm. Algebra 28 (2000), no. 8, 3823--3835.
[15] Cuadra, J; García Rozas, J. R.; Torrecillas, B. Picard Groups for Graded Coalgebras. Comm. Algebra, 28(4) (2000) 1739--1765.
[16] Cuadra, J; García Rozas, J. R.; Torrecillas, B. Subgroups of the Brauer Group of a Cocommutative Coalgebra. J. of Algebras and Representation Theory, 3 (2000) no. 1, 1--18.
[17] García Rozas, J. R.; Torrecillas, B. Divisorially Graded Coalgebras. J. Pure Appl. Algebra. 147 (2000) no. 1, 25--40.
[18] Enochs, Edgar E.; García Rozas, J. R.; Oyonarte, Luis; Jenda, Overtoun M. G. Compact coGalois groups. Math. Proc. Cambridge Philos. Soc. 128 (2000), no. 2, 233--244.
[19] Enochs, Edgar E.; García Rozas, J. R.; Oyonarte, Luis Are covering (enveloping) morphisms minimal? Proc. Amer. Math. Soc., 128 (2000), 2863-2868.
[20] Belshoff, Richard G.; Enochs, Edgar E.; García Rozas, Juan Ramon Generalized Matlis duality. Proc. Amer. Math. Soc., 128 (2000), 1307-1312.
[21]
Enochs, Edgar E.; García Rozas, J. R.; Oyonarte, L. Finitely Generated
Cotorsion Modules. Proc. Edinburgh Math. Soc.,
44 (2001), 143-152.
[22] Cuadra, J; García Rozas, J. R.; Torrecillas, B. Picard Groups and Strongly Graded Coalgebras. J. Pure Appl. Algebra, 165 (2001), no. 3, 267--289.
[23]
J. Cuadra, J.R. Garcia Rozas, B. Torrecillas and F. Van Oystaeyen, The
Brauer Group of an Irreducible Coalgebra.
J. Algebra, 238(2), (2001), 643-664.
[24] Cuadra, J; García Rozas, J. R.; Torrecillas, B; Van Oystaeyen F. On the Brauer Group of a Cocommutative Coalgebra. Comm. Algebra, 29(1), (2001) 67-83.
[25] Cuadra, J; García Rozas, J. R.; Torrecillas, B. Outer Automorphisms and Picard Groups of Coalgebras. Revue Roumanie de Mathematiques Pures et Appliquees, 45 (2000), 5, 775-788.
[26]
S. Aldrich, Edgar Enochs, J.R. García Rozas and Luis Oyonarte.
Covers and Envelopes in Grothendieck Categories.
Flat Covers of Complexes with Applications. J.
Algebra, 243, (2001) 615-630.
[27] García Rozas, J. R, López Ramos J. A. and Torrecillas B. On the existence of flat covers in R-gr. Comm. Algebra, 29 (2001), no. 8, 3341--3349.
[28] García Rozas, J. R; Tempest Aldrich S. Exact and Semisimple Differential Graded Algebras. Comm. Algebra, 30 (2002), no. 3, 1053--1075.
[29] Enochs, Edgar; García Rozas, J. R.; Oyonarte, Luis; Park, Sangwon Noetherian quivers. Quaest. Math. 25 (2002), no. 4, 531--538.
[30] Enochs, E.; Estrada, S.; García-Rozas, J. R.; Oyonarte, L. Generalized quasi-coherent sheaves. J. Algebra Appl. 2 (2003), no. 1, 63--83.
[31] Enochs, Edgar E.; García Rozas, J. R.; Oyonarte, L.; O. M. G. Jenda. Conormal morphisms. Proc. Royal Soc. Edinburgh, Serie A, (2003), no. 133, 1047--1056.
[32] E. Enochs, S. Estrada, J.R. García Rozas and L. Oyonarte. Flat Covers of Representations of the Quiver A. International Journal of Math. and Math. Sciences. 2003, no. 70, (2003) 4409--4419.
[33] E. Enochs, S. Estrada, J.R. García Rozas and L. Oyonarte. Flat Covers in the Category of Quasi-coherent Sheaves Over the Projective Line. Comm. in Algebra. no. 32 (4), (2004) 1497--1508.
[34] E. Enochs, S. Estrada, J.R. García Rozas and L. Oyonarte. Flat and Cotorsion Quasi-Coherent Sheaves. Applications. J. Alg. and Rep. Theory. no. 7 (4), (2004) 441--456.
[35] E. Enochs, S. Estrada, J.R. García Rozas. Galois and coGalois groups associated with cotorsion theories. Houston J. Math. . vol. 32 (3), (2006) 651--663.
[36] J. R. García Rozas, L. Oyonarte, B. Torrecillas, Covers a relative purity over commutative noetherian local rings. Lecture Notes in Pure and Applied Mathematics. Vol 249, (2006) 147--151.
[37] E. Enochs, S. Estrada, J.R. García Rozas, Alina Iacob. Gorenstein Quivers. Archiv der Math. Vol. 88, nº 3, (2007) 199--2006.
[38] E. Enochs, S. Estrada, J.R. García Rozas and L. Oyonarte. The group of covering automorphisms of a quasi-coherent sheaf on P1(K).Proc. Edinburgh Math. Soc. 50 (2007), 325--341.
[39] J.R. García Rozas y Luis Oyonarte. Problemas Resueltos de Álgebra Lineal. Servicio de Publicaciones de la Universidad de Almería, 1999..
[40] J.R. García Rozas y Luis Oyonarte. Problemas Resueltos de Álgebra Básica y Matemática Discreta. Servicio de Publicaciones de la Universidad de Almería, 1999.
[41] J.R. García Rozas, Justo Peralta y
Luis Oyonarte. Álgebra Lineal para Informática. Servicio
de Publicaciones de la Universidad de Almería, 2001.
Preprints
[1] E. Enochs, S. Estrada, J.R. García
Rozas and L. Oyonarte. Flat Covers in the category of quasi-coherent
sheaves.
[2] E. Enochs, S. Estrada, J.R. García Rozas. Gorenstein Categories and Tate Cohomology on Projective Schemes.
[3] E. Enochs, S. Estrada, J.R. García Rozas. Locally projective monoidal model struture for complexes of quasi-coherent sheaves on P1(K).
[4] J.R. García
Rozas, S. Estrada, J. Peralta, E. Sánchez García. Group Convolutional
Codes.
[2] García Rozas, J. R.; Torrecillas, B. Closed covers on Krull domains", Actas del Congreso Internacional de Teoría de Anillos, Almería (1993) 81-86.
[3] García Rozas, J. R.; Torrecillas, B.
Covers and relative purity over a commutative noetherian local ring, IV
Congreso
Panafricano de Matemáticas. Ifrane (Marruecos).
September, 1995.
[4] García Rozas, J. R.; Torrecillas, B. Existence of covers over fixed rings. Rings, Hopf algebras, and Brauer groups (Antwerp/Brussels, 1996).
[5] García Rozas, J. R.; Cubiertas y envolventes en la categoría de complejos de módulos. Seminario Andaluz de Geometría y Álgebra. Universidad de Sevilla. 25 de Octubre de 1997.
[6] García Rozas, J. R. Covers and Envelopes
of Unbounded Complexes. Euroconference. Interactions between Ring Theory
and Representation of Algebras. Murcia. January, 1998.