Options
On the Infinite Dual Goldie Dimension
Perone, Marco
2009
Abstract
We analyze how the properties of Goldie dimension continue to hold or not in the infinite case, with particular interest for the dual Goldie dimension of the lattice of right ideals of a ring R. In this setting we underline the important role played by maximal ideals and we compute the dual Goldie dimension of any Boolean ring and of any endomorphism ring of an infinite dimensional vector space over a division ring.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (2009)
Publisher
EUT Edizioni Università di Trieste
Source
Marco Perone, "On the Infinite Dual Goldie Dimension”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 1–11.
Languages
en
File(s)