This book surveys more than 125 years of aspects of associative algebras, especially ring and module theory. It is the first to probe so extensively such a wealth of historical development. Moreover, the author brings the reader up to date, in particular through his report on the subject in the second half of the twentieth century. In the second part of the book, the author gives descriptive impressions of the last half of the twentieth century. Beginning with his teachers and fellow graduate students at the University of Kentucky and at Purdue, Faith discusses his Fulbright-NATO Postdoctoral at Heidelberg and at the Institute for Advanced Study at Princeton, his year as a visiting scholar at Berkeley, and the many acquaintances he met there and in subsequent travels in India, Europe, and most recently, Barcelona.
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 ...
... Polynomial identities for the Jordan algebra of a symmetric bilinear form, J. Algebra 108 (1987), 66–87. A. Giambruno and M. Zaicev, Polynomial Identities and Asymptotic Methods, Mathematical Surveys and Monographs Vol. 122, Amer. Math ...
These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute.