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Localizations of essential extensions
| Content Provider | Scilit |
|---|---|
| Author | Goodearl, K. R. |
| Copyright Year | 1988 |
| Description | In an earlier paper [4] we considered the question of whether an injective module E over a noncommutative ring R remains injective after localization with respect to a denominator set X in R. A related question is whether, given an essential extension N of an R-module M, the localization $N[X^{–1}$] must be an essential extension of $M[X^{–1}$]. In [1] it is shown that if R is left noetherian and X is central in R, then localization at X preserves both injectivity and essential extensions of left R-modules and, hence, preserves injective hulls and minimal injective resolutions. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2E676491DBBB215B5F6F521E32C32665/S0013091500003369a.pdf/div-class-title-localizations-of-essential-extensions-div.pdf |
| Ending Page | 247 |
| Page Count | 5 |
| Starting Page | 243 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500003369 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 2 |
| Volume Number | 31 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1988-06-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Essential Extensions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
