{"paper":{"title":"Davenport constant of the multiplicative semigroup of the quotient ring $\\frac{\\F_p[x]}{\\langle f(x)\\rangle}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Haoli Wang, Lizhen Zhang, Qinghong Wang, Yongke Qu","submitted_at":"2014-09-04T03:24:56Z","abstract_excerpt":"Let $\\mathcal{S}$ be a finite commutative semigroup. The Davenport constant of $\\mathcal{S}$, denoted $D(\\mathcal{S})$, is defined to be the least positive integer $d$ such that every sequence $T$ of elements in $\\mathcal{S}$ of length at least $d$ contains a subsequence $T'$ with the sum of all terms from $T'$ equaling the sum of all terms from $T$. Let $\\F_p[x]$ be a polynomial ring in one variable over the prime field $\\F_p$, and let $f(x)\\in \\F_p[x]$. In this paper, we made a study of the Davenport constant of the multiplicative semigroup of the quotient ring $\\frac{\\F_p[x]}{\\langle f(x)\\r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1313","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"}