{"paper":{"title":"Tilting Modules Under Special Base Changes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Pooyan Moradifar, Shahab Rajabi, Siamak Yassemi","submitted_at":"2017-10-16T05:48:01Z","abstract_excerpt":"Given a non-unit, non-zero-divisor, central element $x$ of a ring $\\Lambda$, it is well known that many properties or invariants of $\\Lambda$ determine, and are determined by, those of $\\Lambda / x \\Lambda$ and $\\Lambda_x$. In the present paper, we investigate how the property of \"being tilting\" behaves in this situation. It turns out that any tilting module over $\\Lambda$ gives rise to tilting modules over $\\Lambda_x$ and $\\Lambda / x \\Lambda$ after localization and passing to quotient respectively. On the other hand, it is proved that under some mild conditions, a module over $\\Lambda$ is ti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05518","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}