On Hermitian endomorphism rings

Zhang Wanru

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On Hermitian endomorphism rings

机译：关于隐士子宫颈戒指

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摘要

Let A be a right R-module with finite exchange property and let E be its endomorphism ring. In this paper, some sufficient and necessary conditions for E to be a Hermitian ring are given. Moreover, we investigate Hermitian endomorphism rings of quasi-projective modules by means of completions of diagrams. The dual problems for quasi-injective modules are also studied.

机译：让A具有有限交换性能的正确R模块，让E成为其子宫内圆环。在本文中，给出了e的一些充分和必要条件是封闭戒指。此外，我们通过图表的完井调查了准投射模块的封闭因子元圈。还研究了准注射模块的双重问题。

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来源
《Journal of algebra and its applications》 |2017年第11期|共16页
作者
Zhang Wanru;
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作者单位

Northwest Normal Univ Dept Math Lanzhou Gansu Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Exchange ring; Hermitian ring; quasi-projective(injective) module; completion of diagram;

机译：交换环;赫米特·圆环;准投射（注射）模块;完成图表;

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专利

1. On Hermitian endomorphism rings [J] . Zhang Wanru Journal of algebra and its applications . 2017,第11期

机译：关于隐士子宫颈戒指
2. EXTENSION OF ENDOMORPHISMS OF THE SUBSEMIGROUP GE_2~+(R) TO ENDOMORPHISMS OF GE_2~+(R[x]), WHERE R IS A PARTIALLY-ORDERED COMMUTATIVE RING WITHOUT ZERO DIVISORS [J] . O. I. Tsarkov Journal of Mathematical Sciences . 2015,第6期

机译：亚半群GE_2〜+（R）的熵扩大到GE_2〜+（R [x]）的熵，其中R是不带零除数的半有序交换环
3. Hermitian and skew hermitian forms over local rings [J] . Cruickshank James, Quinlan Rachel, Szechtman Fernando Linear Algebra and its Applications . 2018,第期

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4. Improved Digital Signatures Based on Elliptic Curve Endomorphism Rings [C] . Xiu Xu, Chris Leonardi, Anzo Teh, International conference on information security practice and experience . 2019

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5. Substructures of endomorphism near-rings and rings. [D] . Boudreaux, Gregory Mark. 2001

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6. Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit [O] . Shuo Liu, Ruiwen Shao, Shaojie Ma, 2021

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7. Rings whose additive endomorphisms are ring endomorphisms [O] . Manfred Dugas, Jutta Hausen, Johnny A. Johnson 1992

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On Hermitian endomorphism rings

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