{"title":"ON METRIC DIMENSION AND RESOLVING-DOMINATION NUMBER OF ZERO-DIVISOR GRAPHS OF DIRECT PRODUCT OF FINITE FIELDS","authors":"Subhash Mallinath Gaded, N. Narayana","doi":"10.17654/0972555523016","DOIUrl":"https://doi.org/10.17654/0972555523016","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"6 4 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78311574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper solves the enumeration of the set of partitions of in which the nondecreasing sequence of parts , is contained in a degree-2 polynomial . This is a generalization of the partitions of a number into arithmetic progressions. We also study the problem of dividing into parts whose differences between consecutive parts are consecutive integers. In particular, we focus on the problem of the sum of consecutive triangular numbers.
{"title":"ON THE PARABOLIC PARTITIONS OF A NUMBER","authors":"F. Vega","doi":"10.17654/0972555523015","DOIUrl":"https://doi.org/10.17654/0972555523015","url":null,"abstract":"The paper solves the enumeration of the set of partitions of in which the nondecreasing sequence of parts , is contained in a degree-2 polynomial . This is a generalization of the partitions of a number into arithmetic progressions. We also study the problem of dividing into parts whose differences between consecutive parts are consecutive integers. In particular, we focus on the problem of the sum of consecutive triangular numbers.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78060866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON SMALL SUBTRACTIVE AND PROJECTIVE SEMIMODULES OVER ZERO-SUM SEMIRING","authors":"Moussa Sall, Mamadou Barry, L. Fall","doi":"10.17654/0972555523014","DOIUrl":"https://doi.org/10.17654/0972555523014","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"54 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82876094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"TENSOR PRODUCT OF MUNN ALGEBRAS","authors":"E. Alluqmani","doi":"10.17654/0972555523012","DOIUrl":"https://doi.org/10.17654/0972555523012","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"12 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72848297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ALGEBRAIC POINTS OF DEGREE AT MOST 2 ON THE AFFINE CURVES","authors":"Moustapha Camara, Moussa Fall, O. Sall","doi":"10.17654/0972555523013","DOIUrl":"https://doi.org/10.17654/0972555523013","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"110 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76809223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"GRÖBNER-SHIRSHOV BASIS FOR MONOMIALS SEMIRING OVER D-A RINGS","authors":"Soda Diop, Guy Stonn Wamba, Djiby Sow","doi":"10.17654/0972555523011","DOIUrl":"https://doi.org/10.17654/0972555523011","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"87 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80159359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STRUCTURE OF BARIC ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY OF DEGREE SIX","authors":"","doi":"10.17654/0972555523010","DOIUrl":"https://doi.org/10.17654/0972555523010","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"4 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75865113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A STUDY OF SKEW CONSTACYCLIC CODES OVER","authors":"W. Qi, Xiaolei Zhang","doi":"10.17654/0972555523009","DOIUrl":"https://doi.org/10.17654/0972555523009","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"35 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84658082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MAKING STRIP FOLDING A MONOIDAL CATEGORY","authors":"Yiyang Jia, J. Mitani","doi":"10.17654/0972555523008","DOIUrl":"https://doi.org/10.17654/0972555523008","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"81 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87109227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON VAUGHAN’S APPROXIMATION IN RESTRICTED SETS OF ARITHMETIC PROGRESSIONS","authors":"C. Bauer","doi":"10.17654/0972555523007","DOIUrl":"https://doi.org/10.17654/0972555523007","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"36 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91140363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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