{"title":"单型超对称多项式的表征","authors":"Grigory Chelnokov, Maxim Turevskii","doi":"arxiv-2407.18409","DOIUrl":null,"url":null,"abstract":"We introduce an object that has obvious similarity to the classical one - the\nalgebra of supersymmetric polynomials. Despite the similarity, the known\nstructure theorems on supersymmetric polynomials do not help in the study of\nthe new object, so we prove their counterpart for the new object.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":"48 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A characterization of monotypically supersymmetric polynomials\",\"authors\":\"Grigory Chelnokov, Maxim Turevskii\",\"doi\":\"arxiv-2407.18409\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce an object that has obvious similarity to the classical one - the\\nalgebra of supersymmetric polynomials. Despite the similarity, the known\\nstructure theorems on supersymmetric polynomials do not help in the study of\\nthe new object, so we prove their counterpart for the new object.\",\"PeriodicalId\":501475,\"journal\":{\"name\":\"arXiv - MATH - Commutative Algebra\",\"volume\":\"48 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Commutative Algebra\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.18409\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.18409","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A characterization of monotypically supersymmetric polynomials
We introduce an object that has obvious similarity to the classical one - the
algebra of supersymmetric polynomials. Despite the similarity, the known
structure theorems on supersymmetric polynomials do not help in the study of
the new object, so we prove their counterpart for the new object.