DUAL RICKART (BAER) MODULES AND PRERADICALS

被引：0

作者：

Asgari, S. ^{[1
]}

Talebi, Y. ^{[1
]}

Hamzekolaee, A. r. moniri ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

来源：

JOURNAL OF ALGEBRAIC SYSTEMS | 2024年 / 12卷 / 01期

关键词：

Preradical; Dual Rickart module; tau -d-Rickart module; tau -d Baer module; RINGS;

D O I：

10.22044/JAS.2023.12207.1641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this work, we introduce dual Rickart (Baer) modules via the concept of preradicals. It is shown that W is tau-d-Rickart if and only if W = tau (W) circle plus L such that tau (W) is a dual Rickart module. We prove that a module W is tau-d Baer if and only if W is tau-d-Rickart and W satisfies strongly summand sum property for d.s. submodules of W contained in tau(W). Via tau(RR), we characterize right tau-d Baer rings.

引用

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