本质上是半小拟dedekind模和反hopfian模

Full Text Book of Minar Congress4 Pub Date : 2022-03-01 DOI:10.47832/minarcongress4-36

Mukdad Qaess HUSSAIN, Rehab Noori SHALLAN, Zahraa jawad KADHIM

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摘要

设V是一个恒等环，S是V上的一个酉左模，当hm (S/H,S) = 0 H时，𝐑-Module S本质上是一个半小拟dedekind (ESSQD)，如果V是一个ESSQD V模，则环V是ESSQD。如果S是非简单的且S的所有非零因子模都同构于S，则V -模S是反hopfian的;这是给所有人的。本文研究了具有反hopfian模和连续模的ESSQD之间的关系。我们还会给出一些例子来说明这些关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ESSENTIALLY SEMIMALL QUASI-DEDEKIND MODULES AND ANTI-HOPFIAN MODULES

Let V be a ring with identity and S be a unitary left Module over V. An 𝐑-Module S is essentially semismall quasi-Dedekind (ESSQD) whether Hom(S/H,S) = 0 H es S. A ring V is ESSQD if V is an ESSQD V-Module. An V -Module S is anti-hopfian if S is nonsimple and all nonzero factor Modules of S are isomorphic to S; that is for all , S Y  S . In this paper we study the relationship between ESSQD with anti-hopfian Modules and continuous Modules. We also give some examples to illustrate these relationships.

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Full Text Book of Minar Congress4

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