关于co-*n-modules的说明

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/ija.2021.91571

Yu‐Qin Mei, Jiaqun Wei

{"title":"关于co-*n-modules的说明","authors":"Yu‐Qin Mei, Jiaqun Wei","doi":"10.12988/ija.2021.91571","DOIUrl":null,"url":null,"abstract":"It is well known that tilting modules of projective dimension not more than 1 coincide with ∗-modules generating all injective modules. Later, Wei et al. introduced the notion of ∗n-modules as the generalizations of ∗-modules. Yao and Chen introduced the dual situation of ∗n-modules which are called co-∗n-modules. In this paper, we present some properties of co-∗n-modules. Mathematics Subject Classification: Primary 16D90 Secondary 16E05 16E10","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on co-*n-modules\",\"authors\":\"Yu‐Qin Mei, Jiaqun Wei\",\"doi\":\"10.12988/ija.2021.91571\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is well known that tilting modules of projective dimension not more than 1 coincide with ∗-modules generating all injective modules. Later, Wei et al. introduced the notion of ∗n-modules as the generalizations of ∗-modules. Yao and Chen introduced the dual situation of ∗n-modules which are called co-∗n-modules. In this paper, we present some properties of co-∗n-modules. Mathematics Subject Classification: Primary 16D90 Secondary 16E05 16E10\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ija.2021.91571\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2021.91571","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

众所周知，投影维数不大于1的倾斜模与产生所有内射模的* -模重合。后来，Wei等人引入了∗n-模的概念作为∗-模的推广。Yao和Chen引入了称为共* n模的* n模的对偶情形。本文给出了共* n-模的一些性质。数学学科分类:小学16D90中学16E05 16E10

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

A note on co-*n-modules

It is well known that tilting modules of projective dimension not more than 1 coincide with ∗-modules generating all injective modules. Later, Wei et al. introduced the notion of ∗n-modules as the generalizations of ∗-modules. Yao and Chen introduced the dual situation of ∗n-modules which are called co-∗n-modules. In this paper, we present some properties of co-∗n-modules. Mathematics Subject Classification: Primary 16D90 Secondary 16E05 16E10

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

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.