{"paper":{"title":"Wreath products by a Leavitt path algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Adel Alahmadi, Hamed Alsulami","submitted_at":"2014-04-15T11:11:52Z","abstract_excerpt":"We introduce ring theoretic constructions that are similar to the construction of wreath product of groups. In particular, for a given graph $\\Gamma=(V,E)$ and an associate algebra $A,$ we construct an algebra $B=A\\, wr\\, L(\\Gamma)$ with the following property: $B$ has an ideal $I$,which consists of (possibly infinite) matrices over $A$, $B/I\\cong L(\\Gamma)$, the Leavitt path algebra of the graph $\\Gamma$. \\medskip \\par Let $W\\subset V$ be a hereditary saturated subset of the set of vertices [1], $\\Gamma(W)=(W,E(W,W))$ is the restriction of the graph $\\Gamma$ to $W$, $\\Gamma/W$ is the quotient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3869","kind":"arxiv","version":2},"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"}