Contemporary Mathematics 2005; 436 pp; softcover Volume: 376 ISBN10: 0821836307 ISBN13: 9780821836309 List Price: US$120 Member Price: US$96 Order Code: CONM/376
 The LatinAmerican conference on algebra, the XV Coloquio Latinoamericano de Álgebra (Cocoyoc, México), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martínez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra. Readership Graduate students and research mathematicians interested in algebra. Table of Contents  R. Alfaro and A. Kelarev  Recent results on ring constructions for errorcorrecting codes
 I. Assem, F. U. Coelho, M. Lanzilotta, D. Smith, and S. Trepode  Algebras determined by their left and right parts
 E. L. Green  The work of Roberto MartínezVilla
 E. Guardo  A survey on fat points on a smooth quadric
 C. M. Ringel  Bautista and the development of the representation theory of Artin algebras
 M. Takeuchi  A survey on Nichols algebras
 Y. Yoshino  Approximations by modules of Gdimension zero
 M. Aguiar and N. Andruskiewitsch  Representations of matched pairs of groupoids and applications to weak Hopf algebras
 V. A. Artamonov  On symmetries of quasicrystals
 M. J. Asiain  Frattinitype and Fittingtype subgroups
 N. M. Atakishiyev and A. U. Klimyk  Representations of the quantum algebra su\(_q(1,1)\) and duality of \(q\)orthogonal polynomials
 G. Böhm  Internal bialgebroids, entwining structures and corings
 R. Coquereaux  The \(A_2\) Ocneanu quantum groupoïd
 W. Cortes  Skew Armendariz rings and annihilator ideals of skew polynomial rings
 D. Flores de Chela  Quantum symmetric algebras as braided Hopf algebras
 I. Gitler, E. Reyes, and R. H. Villarreal  Blowup algebras of ideals of vertex covers of bipartite graphs
 D. Happel and L. Unger  Minimal elements in the poset of tilting modules
 E. Karolinsky, A. Stolin, and V. Tarasov  Dynamical twists and quantization
 V. K. Kharchenko and A. Andrade  On the combinatorial rank of Hopf algebras
 I. Lizasoain  A tensor product of projective \(G\)groups
 L. Marino  The minimum degree of a surface that passes through all the points of a 0dimensional scheme but a point P
 S. Montgomery  Primitive ideals and Jacobson radicals in Hopf Galois extensions
 R. C. Orellana  On the algebraic decomposition of a centralizer algebra of the hyperoctahedral group
 S. RodríguezRomo  Quantum group global symmetries of quantum chains. States for linear chains with left end open and right end closed
 S. RodríguezRomo and E. J. Taft  Onesided Hopf algebras
 F. L. Williams  BTZ black hole and Jacobi inversion for fundamental domains of infinite volume
 T. Yanai  Galois correspondence theorem for Hopf algebra actions
 A. G. Zavadskij  On twopoint differentiation and its generalization
