{"paper":{"title":"Representations and corepresentations of $p$-equipped posets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ivon Dorado, Raymundo Bautista","submitted_at":"2018-10-04T01:30:55Z","abstract_excerpt":"For $p$ a prime number and $\\mathscr{P}$ a $p$-equipped finite partially ordered set we construct two different right-peak algebras (in the sense of \\cite{KS}) $\\Lambda^{(r)}$ and $\\Lambda^{(c)}$. We consider the category $\\mathcal{U}^{(r)}$ $\\left(\\mathcal{U}^{(c)}\\right)$ consisting of the finitely generated right $\\Lambda^{(r)}$-modules ($\\Lambda^{(c)}$-modules) which are socle-projective. The categories $\\mathcal{U}^{(r)}$ and $\\mathcal{U}^{(c)}$ have almost split sequences. We describe he Auslander-Reiten components $\\mathcal{C}_{\\mathcal{U}}^{(r)}$ and $\\mathcal{C}_{\\mathcal{U}}^{(c)}$ o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02018","kind":"arxiv","version":1},"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"}