吉林大学学报（理学版）2019，Vol.57Issue(3)：465-472,8.DOI:10.13413／j.cnki.jdxblxb.2018252
R0-代数中的广义相对零化子
GeneralizedRelativeAnnihilatorsinR0-Algebras
摘要
Abstract
Firstly,usingthe methodsofextendedfilters,weintroducedtheconceptoftherelative annihilatorinR0-algebras,andproposedtheconceptofthegeneralizedrelativeannihilatorcombined withtheconceptoffilters,anditwasprovedthatthegeneralizedrelativeannihilatorsinR0-algebras werestillfilters.Secondly, we described the prime filters by using the generalized relative annihilator,anddiscussedtherelationshipbetweentherelativeannihilatorsandgeneralizedrelative annihilators.Finally,basedontwogivenelementsin R0-algebras,wegaveacompleteresiduated latticestructure which satisfiedjoin-infinite distributivelaw inthefamily ofgeneralizedrelative annihilators.关键词
R0-代数/相对零化子/广义相对零化子/并无穷分配律/完备剩余格Key words
R0-algebras/relativeannihilator/generalizedrelativeannihilator/join-infinitedistributive law/completeresiduatedlattice分类
数理科学引用本文复制引用
张枥方,吴洪博..R0-代数中的广义相对零化子[J].吉林大学学报（理学版）,2019,57(3):465-472,8.基金项目
国家自然科学基金(批准号:61572016). （批准号:61572016）
