Contains the proceedings of the XVIII Latin American Algebra Colloquium, held from August 3-8, 2009, in Sao Paulo, Brazil. It includes research articles as well as up-to-date surveys covering several directions of current research in algebra, such as Asymptotic Codimension Growth, Hopf Algebras, Structure Theory of both Associative and Non-Associative Algebras, Partial Actions of Groups on Rings, and contributions to Coding Theory.
I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59 (1946), 54–106. , Commutative rings with restricted minimum condition, Duke Math. J. 17 (1950), 27–42. I. S. Cohen and I. Kaplansky, ...
Morey, S. and Villarreal, R. Edge ideals: algebraic and combinatorial properties, Progress in commutative algebra 1, 85–126, de Gruyter, Berlin, 2012. 103. Murai, S. and Hibi, T. Algebraic shifting and graded Betti numbers, Trans. Amer.
... graphs can be translated to the theory of representations of finite-dimensional associative algebras over a field or ... Indeed, given an artinian ring R, we obtain a valued graph TR = (T, d)R of R as follows: Assuming, without loss ...
These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute.