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In particular, D is not a homomorphic image of the lattice of all finitely generated convex {\\ell}-subgroups of any (not necessarily Abelian) {\\ell}-group. It has $\\aleph 2 elements. This solves negatively a few problems stated by Iberkleid, Mart{\\'i}nez, and McGo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1901.07548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2019-01-22T10:55:39Z","cross_cats_sorted":[],"title_canon_sha256":"76905331ed34e5de7c0071f71d8c7fde2a0735510745d21254f162cbd5ad6126","abstract_canon_sha256":"6a7bd7d390f27809e917bd8b72ce84c7db4e011e210bd44714e79bc23ea0f10c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:18.797542Z","signature_b64":"cDVvQ5GLXE8dSjRe609fV5Z8asxXiEswPVGyPPNX042Xrd5GdCQ38F72WPiTHOcmyBGxTyjouVK85Czz4W52Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db23ec02335c6eded87624e555c746f972c0198c74c4f4f53ac1de20917a4809","last_reissued_at":"2026-05-17T23:46:18.796631Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:18.796631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cevian operations on distributive lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Friedrich Wehrung (LMNO)","submitted_at":"2019-01-22T10:55:39Z","abstract_excerpt":"We construct a completely normal bounded distributive lattice D in which for every pair (a, b) of elements, the set {x $\\in$ D | a $\\le$ b $\\lor$ x} has a countable coinitial subset, such that D does not carry any binary operation - satisfying the identities x $\\le$ y $\\lor$(x-y),(x-y)$\\land$(y-x) = 0, and x-z $\\le$ (x-y)$\\lor$(y-z). In particular, D is not a homomorphic image of the lattice of all finitely generated convex {\\ell}-subgroups of any (not necessarily Abelian) {\\ell}-group. It has $\\aleph 2 elements. 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