{"title":"On 1-absorbing Prime and 1-absorbing Primary Ideals of Amalgamations","authors":"Abuzer Gündüz","doi":"10.7546/crabs.2023.09.01","DOIUrl":null,"url":null,"abstract":"In this note, we define the 1-absorbing prime ideals and 1-absorbing primary ideals in the amalgamations of A with B along J with respect to f denoted $$A \\bowtie ^f J$$ and give some results.","PeriodicalId":50652,"journal":{"name":"Comptes Rendus De L Academie Bulgare Des Sciences","volume":"65 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus De L Academie Bulgare Des Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/crabs.2023.09.01","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
In this note, we define the 1-absorbing prime ideals and 1-absorbing primary ideals in the amalgamations of A with B along J with respect to f denoted $$A \bowtie ^f J$$ and give some results.
期刊介绍:
Founded in 1948 by academician Georgy Nadjakov, "Comptes rendus de l’Académie bulgare des Sciences" is also known as "Доклади на БАН","Доклады Болгарской академии наук" and "Proceeding of the Bulgarian Academy of Sciences".
If applicable, the name of the journal should be abbreviated as follows: C. R. Acad. Bulg. Sci. (according to ISO)