Abstract
<div class="line" id="line-19"> We consider a two sided noetherian ring R such that the character modules of Gorenstein injective left R-modules are Gorenstein flat right R-modules. We then prove that the class of Gorenstein flat right R-modules is preenveloping. We also show that over such a ring the class of Gorenstein flat complexes of right R-modules is preenevloping in Ch(R). We also give examples of rings with the property that the character modules of Gorenstein injective modules are Gorenstein flat. We show that any two sided noetherian ring R of finite self injective dimension as a right R-module has the desired property. And we prove that if R is a two sided noetherian ring with a dualizing bimodule V, and such that R is left n-perfect for some positive integer n, then the character modules of Gorenstein injective modules are Gorenstein flat.</div>
| Original language | American English |
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| State | Published - Sep 1 2015 |
| Event | Some Trends in Algebra Annual Conference (STA) - Prague, Czech Republic Duration: Sep 1 2015 → … |
Conference
| Conference | Some Trends in Algebra Annual Conference (STA) |
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| Period | 09/1/15 → … |
Keywords
- Gorenstein flat preenvelopes
- Noetherian ring
DC Disciplines
- Mathematics