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Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.41 (2009) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4004
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| Title: | On the Infinite Dual Goldie Dimension |
| Authors: | Perone, Marco |
| Keywords: | Modular lattice
infinite dual Goldie dimension |
| Issue Date: | 2009 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (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. |
| URI: | http://hdl.handle.net/10077/4004 |
| ISSN: | 0049-4704 |
| MS Classification 2000: | 06C05
16P60 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.41 (2009)
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