{ "id": "1905.02885", "version": "v1", "published": "2019-05-08T03:33:23.000Z", "updated": "2019-05-08T03:33:23.000Z", "title": "The ascent-descent property for $2$-term silting complexes", "authors": [ "Simion Breaz" ], "comment": "15 pages; to appear in Publicacions Matematiques", "categories": [ "math.RT", "math.AC", "math.RA" ], "abstract": "We will prove that over commutative rings the silting property of $2$-term complexes induced by morphisms between projective modules is preserved and reflected by faithfully flat extensions.", "revisions": [ { "version": "v1", "updated": "2019-05-08T03:33:23.000Z" } ], "analyses": { "keywords": [ "term silting complexes", "ascent-descent property", "term complexes", "faithfully flat extensions", "commutative rings" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }