{"paper":{"title":"Characterizations of intra-regular gamma AG-groupoids by the properties of their gamma ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Faisal, Madad Khan, Venus Amjid","submitted_at":"2010-11-05T10:54:48Z","abstract_excerpt":"We have characterized an intra-regular {\\Gamma}-AG^{**}-groupoids by using the properties of {\\Gamma}-ideals (left, right, two-sided ), {\\Gamma}-interior, {\\Gamma}-quasi, {\\Gamma}-bi and {\\Gamma}-generalized bi and {\\Gamma}-(1,2)). We have prove that all the {\\Gamma}-ideals coincides in an intra-regular {\\Gamma}-AG^{**}-groupoids. It has been examined that all the {\\Gamma}-ideals of an intra-regular {\\Gamma}-AG^{**}-groupoids are {\\Gamma}-idempotent. In this paper we define all {\\Gamma}-ideals in {\\Gamma}-AG^{**}-groupoids and we generalize some results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1364","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"}