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Details for article 9 of 18 found articles
| Title: |
Global dimension of rings with krull dimension |
| Author: |
Koker, John J. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 20 (1992) nr. 10 pages 2863-2876 |
| Year: |
1992 |
| Contents: |
The left global dimension of a semiprime ring, with left Krull dimension α≥1 is found to be the supremum of the projective dimensions of the p-critical cyclic modules where β≤α. A similar result is true for upper triangular matrix rings whose entries come from a domain with Krull dimension. In addition if R is a a ring of the form [image omitted] where S is a semiprime ring with left Krull dimension α≥1, T is any ring with l.K dim T≤α, and A is an S-T bimodule such that sA has Krull dimension then the left global dimension of R is the supremum of the projective dimensions of the -critical cyclic left R-modules where β<αa. These results are used to compute homological dimensions of rings with Krull dimension. Some analogues are given for weak dimension and for rings with Gabriel dimension. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 9 of 18 found articles
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