残差网格的对称双衍射

Q2 Mathematics Annali dell''Universita di Ferrara Pub Date : 2023-06-19 DOI:10.1007/s11565-023-00468-3

Mbarek Zaoui, Driss Gretete, El Mustapha El Abbassi, Brahim Fahid

{"title":"残差网格的对称双衍射","authors":"Mbarek Zaoui, Driss Gretete, El Mustapha El Abbassi, Brahim Fahid","doi":"10.1007/s11565-023-00468-3","DOIUrl":null,"url":null,"abstract":"<div>In this paper, we introduced the notion of symmetric bi-derivations on residuated lattices and investigated some related properties. Some relationships between symmetric bi-derivation and k-isotone, k-contractive and k-ideal symmetric bi-derivations are given. Also, we introduce the sets of k-fixed points of a symmetric bi-derivation and its structure is studied. In particular, we show that the “family” of sets of k-fixed points forms a residuated lattice.</div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"235 - 248"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symmetric bi-derivations of residuated lattices\",\"authors\":\"Mbarek Zaoui, Driss Gretete, El Mustapha El Abbassi, Brahim Fahid\",\"doi\":\"10.1007/s11565-023-00468-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>In this paper, we introduced the notion of symmetric bi-derivations on residuated lattices and investigated some related properties. Some relationships between symmetric bi-derivation and k-isotone, k-contractive and k-ideal symmetric bi-derivations are given. Also, we introduce the sets of k-fixed points of a symmetric bi-derivation and its structure is studied. In particular, we show that the “family” of sets of k-fixed points forms a residuated lattice.</div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"70 2\",\"pages\":\"235 - 248\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali dell''Universita di Ferrara\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11565-023-00468-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-023-00468-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文介绍了残差网格上的对称双衍生概念，并研究了一些相关性质。本文给出了对称双衍生与 k-异调对称双衍生、k-收缩对称双衍生和 k-理想对称双衍生之间的一些关系。此外，我们还引入了对称双衍生的 k 个固定点集，并对其结构进行了研究。特别是，我们证明了 k 个固定点集合的 "族 "构成了一个残差网格。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Symmetric bi-derivations of residuated lattices

In this paper, we introduced the notion of symmetric bi-derivations on residuated lattices and investigated some related properties. Some relationships between symmetric bi-derivation and k-isotone, k-contractive and k-ideal symmetric bi-derivations are given. Also, we introduce the sets of k-fixed points of a symmetric bi-derivation and its structure is studied. In particular, we show that the “family” of sets of k-fixed points forms a residuated lattice.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.