{"paper":{"title":"Palindromic closures using multiple antimorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Edita Pelantov\\'a, Tatiana Jajcayov\\'a, \\v{S}t\\v{e}p\\'an Starosta","submitted_at":"2013-06-28T10:25:33Z","abstract_excerpt":"Generalized pseudostandard word $\\bf u$, as introduced in 2006 by de Luca and De Luca, is given by a directive sequence of letters from an alphabet ${\\cal A}$ and by a directive sequence of involutory antimorphisms acting on ${\\cal A}^*$. Prefixes of $\\bf u$ with increasing length are constructed using pseudopalindromic closure operator.\n  We show that generalized Thue--Morse words ${\\bf t}_{b,m}$, with $b, m \\in \\N$ and $b, m \\geq 2$, are generalized pseudostandard words if and only if ${\\bf t}_{b,m}$ is a periodic word or $b \\leq m$. This extends the result of de Luca and De Luca obtained fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6784","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"}