Publication Information

{'id': 'https://openalex.org/W2972379433', 'doi': None, 'title': 'On the decidability of finite extensions of decidable fields', 'display_name': 'On the decidability of finite extensions of decidable fields', 'publication_year': 2018, 'publication_date': '2018-01-01', 'ids': {'openalex': 'https://openalex.org/W2972379433', 'mag': '2972379433'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772574', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'dissertation', 'type_crossref': 'dissertation', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5088428608', 'display_name': 'Kesavan Thanagopal', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Kesavan Thanagopal', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5088428608'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 62}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T13720', 'display_name': 'Benford’s Law and Fraud Detection', 'score': 0.9057, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T13720', 'display_name': 'Benford’s Law and Fraud Detection', 'score': 0.9057, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/undecidable-problem', 'display_name': 'Undecidable problem', 'score': 0.983791}, {'id': 'https://openalex.org/keywords/counterexample', 'display_name': 'Counterexample', 'score': 0.6321076}], 'concepts': [{'id': 'https://openalex.org/C153269930', 'wikidata': 'https://www.wikidata.org/wiki/Q430001', 'display_name': 'Decidability', 'level': 2, 'score': 0.985346}, {'id': 'https://openalex.org/C192034797', 'wikidata': 'https://www.wikidata.org/wiki/Q3502995', 'display_name': 'Undecidable problem', 'level': 3, 'score': 0.983791}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.7214629}, {'id': 'https://openalex.org/C162838799', 'wikidata': 'https://www.wikidata.org/wiki/Q596077', 'display_name': 'Counterexample', 'level': 2, 'score': 0.6321076}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5465361}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.49212116}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.4823834}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.4352591}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3855059}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.3175732}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.29413044}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.08004901}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.07010412}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.772574', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Peace, justice, and strong institutions', 'id': 'https://metadata.un.org/sdg/16', 'score': 0.67}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W3161432936', 'https://openalex.org/W3101258384', 'https://openalex.org/W3022639623', 'https://openalex.org/W2981580809', 'https://openalex.org/W2952380681', 'https://openalex.org/W2505565435', 'https://openalex.org/W2499290539', 'https://openalex.org/W2330615095', 'https://openalex.org/W2226604542', 'https://openalex.org/W2165407280', 'https://openalex.org/W2140392112', 'https://openalex.org/W2130872027', 'https://openalex.org/W2089790483', 'https://openalex.org/W2069613809', 'https://openalex.org/W2031203614', 'https://openalex.org/W1998762417', 'https://openalex.org/W1651628549', 'https://openalex.org/W1559057686', 'https://openalex.org/W1548332750', 'https://openalex.org/W1542543925'], 'abstract_inverted_index': {'This': [0, 35, 100, 127, 271], 'paper': [1, 101], 'is': [2, 129, 216], 'primarily': [3], 'concerned': [4], 'with': [5, 274], 'the': [6, 86, 121, 179, 196, 199, 213, 232, 247, 251, 259, 302, 305, 316, 319], 'following': [7], 'question': [8, 41, 123, 321], 'which': [9, 51, 95, 114, 136, 181, 203, 278, 286], 'first': [10, 254], 'appeared': [11], 'in': [12, 49, 85, 142, 206, 258, 308, 315, 327], 'Koenigsmann’s': [13], 'On': [14], 'a': [15, 23, 28, 37, 40, 74, 133, 137, 229, 275], 'Question': [16], 'of': [17, 27, 59, 68, 76, 111, 156, 198, 242, 250, 318], 'Abraham': [18, 47], 'Robinson’s:': [19], 'Is': [22], 'finite': [24, 98, 117, 150, 289], 'field': [25, 30, 62, 139, 222], 'extension': [26, 58], 'decidable': [29, 97, 112, 138, 221, 243, 284], 'always': [31], 'decidable?': [32], 'offers': [36], '“twist”': [38], 'to': [39, 103, 146, 167, 177, 194, 231, 301, 324], 'that': [42, 89, 105, 212, 280, 322], 'was': [43], 'originally': [44], 'posed': [45], 'by': [46, 131, 256], 'Robinson': [48], '1973': [50], 'had': [52, 160, 165], 'asked': [53], 'whether': [54], 'every': [55], 'finitely': [56], 'generated': [57], 'an': [60, 148, 153, 185], 'undecidable': [61, 93, 116, 149, 288], 'remains': [63], 'undecidable.': [64], 'The': [65], 'above-mentioned': [66, 233, 303, 320], 'work': [67], 'Koenigsmann': [69], 'from': [70], '2016': [71], '(and': [72], 'independently,': [73], 'result': [75, 128], 'Cherlin,': [77], 'van': [78], 'den': [79], 'Dries,': [80], 'and': [81, 311], 'Macintyre': [82], 'much': [83], 'earlier': [84, 154], '1980s)': [87], 'showed': [88], 'there': [90, 281], 'are': [91, 282], 'indeed': [92, 217, 283], 'fields': [94, 113, 285], 'admit': [96, 115, 287], 'extensions.': [99, 290], 'aims': [102], 'show': [104], 'one': [106, 169, 239], 'could,': [107], 'similarly,': [108], 'find': [109], 'examples': [110], 'extensions,': [118], 'thereby': [119], 'answering': [120], 'above-stated': [122], 'negatively.': [124], 'achieved': [130], 'identifying': [132], 'sufficient': [134, 218], 'condition': [135], 'must': [140], 'satisfy': [141, 267], 'order': [143], 'for': [144], 'it': [145], 'have': [147], 'extension.': [151], 'In': [152], 'iteration': [155], 'this': [157, 173, 189, 207, 224, 268], 'work,': [158], 'we': [159, 164, 182, 191, 204], 'pointed': [161], 'out': [162, 175, 294], 'what': [163], 'believed': [166], 'be': [168, 178, 325], 'such': [170, 240], 'condition.': [171], 'Unfortunately,': [172], 'turned': [174], 'not': [176], 'case,': [180], 'illustrate': [183], 'using': [184], 'explicit': [186], 'example.': [187], 'Through': [188], 'demonstration,': [190], 'were': [192], 'able': [193], 'accentuate': [195], 'weakness': [197], 'formerly': [200], 'mentioned': [201], 'criterion,': [202], 'strengthen': [205], 'thesis.': [208], 'We': [209, 237, 291], 'provide': [210], 'justification': [211], 'strengthened': [214, 225, 269], 'criterion': [215, 226], '–': [219], 'any': [220], 'satisfying': [223], 'would': [227], 'form': [228], 'counterexample': [230, 277], 'question.': [234], 'study': [238], 'class': [241], 'fields,': [244], 'known': [245], 'as': [246], 'wonderful': [248], 'extensions': [249, 266], 'rational': [252], 'numbers,': [253], 'introduced': [255], 'Ershov': [257], 'early': [260], '2000s,': [261], 'whose': [262], '(sufficiently': [263], 'saturated)': [264], 'elementary': [265], 'criterion.': [270], 'provides': [272], 'us': [273], 'concrete': [276], 'shows': [279], 'also': [292], 'point': [293], 'various': [295], 'attempts': [296], 'at': [297], 'finding': [298], 'other': [299], 'counterexamples': [300], 'question,': [304], 'difficulties': [306], 'faced': [307], 'those': [309], 'instances,': [310], 'some': [312], 'further': [313], 'questions': [314], 'flavour': [317], 'appear': [323], 'interesting': [326], 'their': [328], 'own': [329], 'rights.': [330]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2972379433', 'counts_by_year': [], 'updated_date': '2024-12-13T01:45:29.116109', 'created_date': '2019-09-19'}