{"id":"https://openalex.org/W2888260387","doi":"https://doi.org/10.1007/978-3-319-99639-4_2","title":"On Unimodular Matrices of Difference Operators","display_name":"On Unimodular Matrices of Difference Operators","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2888260387","doi":"https://doi.org/10.1007/978-3-319-99639-4_2","mag":"2888260387"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-99639-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99639-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066677758","display_name":"\u0421. \u0410. \u0410\u0431\u0440\u0430\u043c\u043e\u0432","orcid":null},"institutions":[{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. A. Abramov","raw_affiliation_strings":["Dorodnicyn Computing Centre, Federal Research Center \u201cComputer Science and Control\u201d, Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","Dorodnicyn Computing Centre, Federal Research Center \"Computer Science and Control\", Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Centre, Federal Research Center \u201cComputer Science and Control\u201d, Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Dorodnicyn Computing Centre, Federal Research Center \"Computer Science and Control\", Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I2801535751"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001081549","display_name":"D. E. Khmelnov","orcid":"https://orcid.org/0000-0002-4602-2382"},"institutions":[{"id":"https://openalex.org/I2801535751","display_name":"Dorodnitsyn Computing Centre","ror":"https://ror.org/01vgda714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801535751","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. E. Khmelnov","raw_affiliation_strings":["Dorodnicyn Computing Centre, Federal Research Center \u201cComputer Science and Control\u201d, Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","Dorodnicyn Computing Centre, Federal Research Center \"Computer Science and Control\", Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia"],"affiliations":[{"raw_affiliation_string":"Dorodnicyn Computing Centre, Federal Research Center \u201cComputer Science and Control\u201d, Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I2801535751"]},{"raw_affiliation_string":"Dorodnicyn Computing Centre, Federal Research Center \"Computer Science and Control\", Russian Academy of Sciences, Vavilova, 40, Moscow, 119333, Russia","institution_ids":["https://openalex.org/I2801535751"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066677758"],"corresponding_institution_ids":["https://openalex.org/I2801535751"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0875,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81280596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"18","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.7886965274810791},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.5957527756690979},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5772030353546143},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.548276960849762},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.51889568567276},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.48487529158592224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4360802173614502},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4276656210422516},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.41191136837005615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3767433762550354},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3619779348373413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36057984828948975},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2881626486778259},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2419717013835907},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12356886267662048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09040555357933044},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08849307894706726},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06820687651634216}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.7886965274810791},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.5957527756690979},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5772030353546143},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.548276960849762},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.51889568567276},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.48487529158592224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4360802173614502},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4276656210422516},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.41191136837005615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3767433762550354},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3619779348373413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36057984828948975},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2881626486778259},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2419717013835907},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12356886267662048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09040555357933044},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08849307894706726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06820687651634216}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-99639-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-99639-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W78494858","https://openalex.org/W114689604","https://openalex.org/W602391989","https://openalex.org/W610831910","https://openalex.org/W1560726565","https://openalex.org/W2017249959","https://openalex.org/W2021258994","https://openalex.org/W2038970752","https://openalex.org/W2110836275","https://openalex.org/W2134837982","https://openalex.org/W2328354495","https://openalex.org/W2513157961","https://openalex.org/W2789870126","https://openalex.org/W2964290923","https://openalex.org/W4234000537"],"related_works":["https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W1974942973","https://openalex.org/W2950905816","https://openalex.org/W211627054","https://openalex.org/W1608437562","https://openalex.org/W2083668208","https://openalex.org/W3141916192","https://openalex.org/W2891282528","https://openalex.org/W2104029399"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
