n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices

Fabrice Tchoua Yinga, B. B. Koguep Njionou, Etienne R. Temgoua Alomo
{"title":"n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices","authors":"Fabrice Tchoua Yinga, B. B. Koguep Njionou, Etienne R. Temgoua Alomo","doi":"10.7151/dmgaa.1396","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of n-fold ideal and n-fold filter in residuated lattices.","PeriodicalId":36816,"journal":{"name":"Discussiones Mathematicae - General Algebra and Applications","volume":"42 1","pages":"363 - 381"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discussiones Mathematicae - General Algebra and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7151/dmgaa.1396","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0

Abstract

Abstract In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of n-fold ideal and n-fold filter in residuated lattices.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
有界可交换剩余格中的n-叠奇异理想和n-叠对合理想
摘要本文引入了剩余格中的n次顽固理想、n次正规理想、n次奇异理想和n次对合理想的概念,并给出了它们的一些性质,并给出了证明。给出了这些概念的几个特征,并研究了这些概念之间的关系。同时,我们构造了n重理想和n重滤波在剩余格中的对应关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Discussiones Mathematicae - General Algebra and Applications
Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory
CiteScore
0.60
自引率
0.00%
发文量
12
审稿时长
26 weeks
期刊最新文献
Quasi-primary ideals in commutative semirings $(f,g)$-derivation of ordered ternary semirings A note on weak-interior and quasi-interior ideals in quasi-ordered semigroups On some Morita invariant radicals of semirings Notes on planar semimodular lattices IX C1-diagrams
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1