冯·诺伊曼正则半模

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-01-01 DOI:10.47743/ANSTIM.2021.00020

Mrinal K. Sen, S. Maity, Sabnam Swomin

{"title":"冯·诺伊曼正则半模","authors":"Mrinal K. Sen, S. Maity, Sabnam Swomin","doi":"10.47743/ANSTIM.2021.00020","DOIUrl":null,"url":null,"abstract":"In [11], the author introduced inverse semimodules. Recently, in [8], we further studied properties of inverse semimodules and Clifford semimodules. In this paper, we consider inverse semimodules over a semiring R such that R is a distributive lattice of rings. In [3], the authors introduced von Neumann regular module and studied its properties. In this paper, we introduce von Neumann regular semimodule and study its different interesting properties.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"17 1","pages":"279-294"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Von Neumann regular semimodule\",\"authors\":\"Mrinal K. Sen, S. Maity, Sabnam Swomin\",\"doi\":\"10.47743/ANSTIM.2021.00020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In [11], the author introduced inverse semimodules. Recently, in [8], we further studied properties of inverse semimodules and Clifford semimodules. In this paper, we consider inverse semimodules over a semiring R such that R is a distributive lattice of rings. In [3], the authors introduced von Neumann regular module and studied its properties. In this paper, we introduce von Neumann regular semimodule and study its different interesting properties.\",\"PeriodicalId\":55523,\"journal\":{\"name\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"volume\":\"17 1\",\"pages\":\"279-294\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47743/ANSTIM.2021.00020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47743/ANSTIM.2021.00020","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: 1

摘要

在[11]中，作者引入了逆半模。最近，在[8]中，我们进一步研究了逆半模和Clifford半模的性质。本文考虑半环R上的逆半模，使得R是环的分配格。在b[3]中，作者引入了von Neumann正则模并研究了它的性质。本文引入了von Neumann正则半模，并研究了它的各种有趣性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Von Neumann regular semimodule

In [11], the author introduced inverse semimodules. Recently, in [8], we further studied properties of inverse semimodules and Clifford semimodules. In this paper, we consider inverse semimodules over a semiring R such that R is a distributive lattice of rings. In [3], the authors introduced von Neumann regular module and studied its properties. In this paper, we introduce von Neumann regular semimodule and study its different interesting properties.

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

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.