Mankagna Albert Diompy, Alhousseynou Ba, Andé Souleye Diabang
{"title":"On S C D F -Modules","authors":"Mankagna Albert Diompy, Alhousseynou Ba, Andé Souleye Diabang","doi":"10.61091/um118-06","DOIUrl":"https://doi.org/10.61091/um118-06","url":null,"abstract":"A module M over a commutative ring is termed an SCDF-module if every Dedekind finite object in σ[M] is finitely cogenerated. Utilizing this concept, we explore several properties and characterize various types of SCDF-modules. These include local SCDF-modules, finitely generated $SCDF$-modules, and hollow SCDF-modules with Rad(M)=0≠M. Additionally, we examine QF SCDF-odules in the context of duo-ring.","PeriodicalId":49389,"journal":{"name":"Utilitas Mathematica","volume":"141 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139628874","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}
Mankagna Albert Diompy, Ousseynou Bousso, Remy Diaga Diouf, Oumar Diankha
{"title":"EKFN-Modules","authors":"Mankagna Albert Diompy, Ousseynou Bousso, Remy Diaga Diouf, Oumar Diankha","doi":"10.61091/um118-03","DOIUrl":"https://doi.org/10.61091/um118-03","url":null,"abstract":"In this paper, we utilize the σ category to introduce EKFN-modules, which extend the concept of the EKFN-ring. After presenting some properties, we demonstrate, under certain hypotheses, that if M is an EKFN-module, then the following equivalences hold: the class of uniserial modules coincides with the class of cu-uniserial modules; EKFN-modules correspond to the class of locally noetherian modules; and the class of CD-modules is a subset of the EKFN-modules.","PeriodicalId":49389,"journal":{"name":"Utilitas Mathematica","volume":"116 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139629155","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":"Caputo Fractional Derivative Inequalities for Refined Modified ( h , m ) -Convex Functions","authors":"Muhammad Ajmal, Muhammad Rafaqat, Labeeb Ahmad","doi":"10.61091/um118-04","DOIUrl":"https://doi.org/10.61091/um118-04","url":null,"abstract":"This paper introduces a novel type of convex function known as the refined modified (h,m)-convex function, which is a generalization of the traditional (h,m)-convex function. We establish Hadamard-type inequalities for this new definition by utilizing the Caputo k-fractional derivative. Specifically, we derive two integral identities that involve the nth order derivatives of given functions and use them to prove the estimation of Hadamard-type inequalities for the Caputo k-fractional derivatives of refined modified (h,m)-convex functions. The results obtained in this research demonstrate the versatility of the refined modified (h,m)-convex function and the usefulness of Caputo k-fractional derivatives in establishing important inequalities. Our work contributes to the existing body of knowledge on convex functions and offers insights into the applications of fractional calculus in mathematical analysis. The research findings have the potential to pave the way for future studies in the area of convex functions and fractional calculus, as well as in other areas of mathematical research.","PeriodicalId":49389,"journal":{"name":"Utilitas Mathematica","volume":"113 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139628951","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}
G. Chartrand, Henry Escuadro, F. Okamoto, Ping Zhang
{"title":"Detectable colorings of graphs","authors":"G. Chartrand, Henry Escuadro, F. Okamoto, Ping Zhang","doi":"10.21136/mb.2005.134214","DOIUrl":"https://doi.org/10.21136/mb.2005.134214","url":null,"abstract":"","PeriodicalId":49389,"journal":{"name":"Utilitas Mathematica","volume":"14 1","pages":"13-32"},"PeriodicalIF":0.0,"publicationDate":"2006-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68443497","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":"The development of a time-domain model for transients on lossy, distorting coaxil cables","authors":"D. Meek","doi":"10.5555/14033.14037","DOIUrl":"https://doi.org/10.5555/14033.14037","url":null,"abstract":"","PeriodicalId":49389,"journal":{"name":"Utilitas Mathematica","volume":"26 1","pages":"33-44"},"PeriodicalIF":0.0,"publicationDate":"1984-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71115705","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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