{"title":"一个le-module的伪素数子模块元素","authors":"M. Kumbhakar, A. K. Bhuniya","doi":"10.1142/s1793557123502248","DOIUrl":null,"url":null,"abstract":"Here we introduce and study the concept of pseudo-prime submodule elements of an le-module. The pseudo-prime submodule elements of an le-module are useful to characterize several class, like topological, multiplication, content, pseudo-primeful le-modules. Besides we extend the Nakayama’s lemma to le-modules.","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Pseudo-prime submodule elements of an le-module\",\"authors\":\"M. Kumbhakar, A. K. Bhuniya\",\"doi\":\"10.1142/s1793557123502248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here we introduce and study the concept of pseudo-prime submodule elements of an le-module. The pseudo-prime submodule elements of an le-module are useful to characterize several class, like topological, multiplication, content, pseudo-primeful le-modules. Besides we extend the Nakayama’s lemma to le-modules.\",\"PeriodicalId\":45737,\"journal\":{\"name\":\"Asian-European Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-11-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian-European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s1793557123502248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian-European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s1793557123502248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Here we introduce and study the concept of pseudo-prime submodule elements of an le-module. The pseudo-prime submodule elements of an le-module are useful to characterize several class, like topological, multiplication, content, pseudo-primeful le-modules. Besides we extend the Nakayama’s lemma to le-modules.
期刊介绍：
Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.
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