Abstract
In this paper, we shall present a general process for structure presheaves of general rings which are not necessarily left noetherian nor commutative. We shall give several necessary and sufficient conditions such that the structure presheaves are actually sheaves. These results generalize considerably Grothendieck's original one, as well as various existing corresponding results.
| Original language | English |
|---|---|
| Pages (from-to) | 5191-5201 |
| Number of pages | 11 |
| Journal | Communications in Algebra |
| Volume | 27 |
| Issue number | 11 |
| Publication status | Published - 1999 |
| Externally published | Yes |