{"id":"https://openalex.org/W1978771104","doi":"https://doi.org/10.1007/s002000050064","title":"Minimal Primary Decomposition and Factorized Gr\u00f6bner Bases","display_name":"Minimal Primary Decomposition and Factorized Gr\u00f6bner Bases","publication_year":1997,"publication_date":"1997-04-21","ids":{"openalex":"https://openalex.org/W1978771104","doi":"https://doi.org/10.1007/s002000050064","mag":"1978771104"},"language":"en","primary_location":{"id":"doi:10.1007/s002000050064","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000050064","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ul.qucosa.de/id/qucosa%3A32790","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076180357","display_name":"Hans\u2010Gert Gr\u00e4be","orcid":"https://orcid.org/0000-0002-3934-413X"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hans-Gert Gr\u00e4be","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Postfach 920, D-04009 Leipzig, Germany, , , , , , DE","Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Postfach 920, D-04009 Leipzig, Germany, DE"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Postfach 920, D-04009 Leipzig, Germany, , , , , , DE","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Postfach 920, D-04009 Leipzig, Germany, DE","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076180357"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5161,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.62292555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"4","first_page":"265","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/computation","display_name":"Computation","score":0.8159161806106567},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.676364004611969},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6555819511413574},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5738152861595154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5605615973472595},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5537515878677368},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5477527976036072},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47419387102127075},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.4338605999946594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4233558177947998},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3930143713951111},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24311843514442444}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.8159161806106567},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.676364004611969},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6555819511413574},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5738152861595154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5605615973472595},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5537515878677368},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5477527976036072},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47419387102127075},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.4338605999946594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4233558177947998},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3930143713951111},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24311843514442444},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s002000050064","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002000050064","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.177.7204","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.177.7204","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lips.informatik.uni-leipzig.de/files/1997-24.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.86.5613","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.86.5613","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-leipzig.de/~graebe/ComputerAlgebra/Publications/mpd.pdf","raw_type":"text"},{"id":"pmh:oai:qucosa:de:qucosa:32790","is_oa":true,"landing_page_url":"http://ul.qucosa.de/id/qucosa%3A32790","pdf_url":null,"source":{"id":"https://openalex.org/S4377196312","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https://openalex.org/I3132420320"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:Text"}],"best_oa_location":{"id":"pmh:oai:qucosa:de:qucosa:32790","is_oa":true,"landing_page_url":"http://ul.qucosa.de/id/qucosa%3A32790","pdf_url":null,"source":{"id":"https://openalex.org/S4377196312","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https://openalex.org/I3132420320"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1495410784","https://openalex.org/W1543638401","https://openalex.org/W1545185181","https://openalex.org/W1545313458","https://openalex.org/W1546118031","https://openalex.org/W1552495238","https://openalex.org/W1579709540","https://openalex.org/W1967579587","https://openalex.org/W1976913643","https://openalex.org/W1989763544","https://openalex.org/W2027044504","https://openalex.org/W2027702038","https://openalex.org/W2028552691","https://openalex.org/W2031399497","https://openalex.org/W2066753705","https://openalex.org/W2071231019","https://openalex.org/W2093748051","https://openalex.org/W2160689349","https://openalex.org/W2165153119","https://openalex.org/W2317768432","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3155872915","https://openalex.org/W2929921717","https://openalex.org/W627423529","https://openalex.org/W2949221213","https://openalex.org/W605041788","https://openalex.org/W3149342578","https://openalex.org/W2950958018","https://openalex.org/W2117849070","https://openalex.org/W2160037824","https://openalex.org/W1984961932"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
