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We give a complete description of the maximum ideal space M(A_0+AP_+) of A_0+AP_+. Using this description, we also establish the following results:\n  (1) The corona theorem for A_0+AP_+.\n  (2) M(A_0+AP_+) is contractible (which implies that A_0+AP_+ is a projective free ring).\n  (3) A_0+AP_+ is not a GCD domain.\n  (4) A_0+AP_+ is not a pre-Bezout domain.\n  (5) A_0+AP_+","authors_text":"Amol Sasane, Marie Frentz","cross_cats":["math.OC","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-07T09:50:56Z","title":"A subalgebra of the Hardy algebra relevant in control theory and its algebraic-analytic properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1452","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b63fa85aaf41932b7733634cee815636331b7cb4510ef37c9df77036905e8cb2","target":"record","created_at":"2026-05-18T03:26:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c51c218d31289aec2b60b89a5716e664b8052be10af3fac2edd496733403deb9","cross_cats_sorted":["math.OC","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-05-07T09:50:56Z","title_canon_sha256":"9bf96d0240b2fd36e5340362a99cc7a9b45e522297da7909582604d95d62532f"},"schema_version":"1.0","source":{"id":"1305.1452","kind":"arxiv","version":1}},"canonical_sha256":"6225c128623fd75e615f584f9b9465d75722724e8bd61ad3bdd3a6ec00f73f36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6225c128623fd75e615f584f9b9465d75722724e8bd61ad3bdd3a6ec00f73f36","first_computed_at":"2026-05-18T03:26:21.718016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:21.718016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TDLqDnjaYCbcsnALopdpilCrVD+sKfA/mybAlnwC90WkxxN+gVIlOmZKlnwf2dQt3ml68kIzW1VhAqWBceqMBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:21.718817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1452","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b63fa85aaf41932b7733634cee815636331b7cb4510ef37c9df77036905e8cb2","sha256:f83ad097f4da589e74f39e5010a5c7322257141927c07c348e91315513e1be96"],"state_sha256":"79748988bb1ed56798b3ccf83be6cec30742788f1f51d81e674adc7a80418d22"}