This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.
MR0223394 [11] K. R. Goodearl and R. B. Warfield Jr., An introduction to noncommutative Noetherian rings, 2nd ed., London Mathematical Society Student Texts, vol. 61, Cambridge University Press, Cambridge, 2004.
The book presents both the basic classical theory and more recent results related to current research such as the structure theory of some special classes of rings, which arise in many applications.
... Abelian Groups and Representations of Finite Partially Ordered Sets, Springer-Verlag, New York, 2000. [Arnold, Dugas, 1997] D.M.Arnold and M.Dugas, Representations type of finite rank Butler groups, Colloquium Math., v.74, 1997, p.299 ...