Let R be a ring with identity. By a central ideal of R we mean an ideal of R which can be generated by central elements of R. An ideal I of R is called hypercentral provided there exists a transfinite chain of ideals of R
We consider rings whose injective hulls of simple modules are locally Artinian. After a brief discussion of this ring theoretic property and after a list of examples, we consider this property for super Lie algebras and classify all finite dimensional complex nilpotent super Lie algebras whose...
Stéphane Launois, School of Mathematics, Statistics & Actuarial Science, University of Kent, UK
Tuesday, 5 April, 2011 - 10:00
0.05, Mathematics Department Building, FCUP
I will discuss primitive ideals of the algebra of quantum matrices. In particular, I will explain how, roughly speaking, the problem reduces to the computation of the rank of certain integral matrices. Then I will explain combinatorial tools to compute the rank of these integral matrices.
Department of Mathematics, University of Wales Swansea, UK
Wednesday, 26 January, 2011 - 14:30
0.19, Mathematics Department Building, FCUP
In the first part of the talk we outline the basic ideas of synthetic approach to differential geometry. The main idea of this approach, which originates from considerations of Sophus Lie is very simple: All geometric constructions are performed within a suitable base category in which space...
The Goldie dimension of a module M is deﬁned as the supremum of all cardinalities λ such that M contains the direct sum of λ nonzero submodules. This deﬁnition can be easily extended to modular lattices with 0 and it extends the notion of the linear dimension of linear...