The points and localisations of the topos of M-sets
- In previous papers, we were able to prove that, much like in classical algebraic geometry, it is possible to recover our monoid scheme X from the topos Qcoh(X). This was achieved using topos points and localisations of Qcoh(X). With this philosophy in mind, the aim of this paper is to study the topos of M-sets for non-commutative monoids, especially their points and localisations. We will classify the points and localisations of M-sets for finite monoids in terms of the idempotent elements of M and idempotent ideals of M, respectively. Some of the results obtained in this paper can already be found in previous works, in direct or indirect forms. See the last part of the introduction.
| Author: | Ilia Pirashvili |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1152645 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/115264 |
| ISSN: | 1661-6952OPAC |
| ISSN: | 1661-6960OPAC |
| Parent Title (English): | Journal of Noncommutative Geometry |
| Publisher: | European Mathematical Society - EMS - Publishing House |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/09/10 |
| Volume: | 18 |
| Issue: | 3 |
| First Page: | 1103 |
| Last Page: | 1127 |
| DOI: | https://doi.org/10.4171/jncg/549 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Algebra und Zahlentheorie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
