<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mfenced separators="|"><mrow><mi>n</mi><mo>,</mo><mi>d</mi></mrow></mfenced></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M001.jpg"><?fx-imagestate width="17.01799965" height="7.78933382"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M001c.jpg"><?fx-imagestate width="17.01799965" height="7.78933382"?></graphic></alternatives></inline-formula>-（<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mi mathvariant="normal">E</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">t</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M002.jpg"><?fx-imagestate width="9.90600014" height="5.33400011"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M002c.jpg"><?fx-imagestate width="9.90600014" height="5.33400011"?></graphic></alternatives></inline-formula>）-phantom 态射与 <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mfenced separators="|"><mrow><mi>n</mi><mo>,</mo><mi>d</mi></mrow></mfenced></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M001.jpg"><?fx-imagestate width="17.01799965" height="7.78933382"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/5014DECA-19B1-43d7-85EA-567A7855936B-M001c.jpg"><?fx-imagestate width="17.01799965" height="7.78933382"?></graphic></alternatives></inline-formula>-环

余君丽; 张春霞

doi:10.13471/j.cnki.acta.snus.2022A030

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(n, d)

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研究论文 | 更新时间：2024-01-25

- $(n, d)$ -（ $E x t$ ）-phantom 态射与 $(n, d)$ -环
- On $(n, d)$ -（ $E x t$ ）-phantom morphisms and $(n, d)$ -rings
- 中山大学学报(自然科学版)(中英文) 2024年63卷第1期页码：154-165
- 作者机构：
  
  重庆师范大学数学科学学院，重庆 401331
- 作者简介：
  
  余君丽（1998年生），女；研究方向：同调代数理论；E-mail：979598210@qq.com
  张春霞（1979年生），女；研究方向：同调代数理论；E-mail：cxzhang@cqnu.edu.cn
- 基金信息：
  
  国家自然科学基金(11871125);重庆市自然科学基金(cstc2021jcyj-msxmX0048)
- DOI：10.13471/j.cnki.acta.snus.2022A030
  中图分类号： O153.3
- 纸质出版日期：2024-01-25，
  
  网络出版日期：2023-11-16，
  
  收稿日期：2022-03-18，
  
  录用日期：2022-12-16
扫描看全文
余君丽,张春霞.n,d-（Ext）-phantom 态射与 n,d-环[J].中山大学学报(自然科学版)(中英文),2024,63(01):154-165.

YU Junli,ZHANG Chunxia.On n,d-（Ext）-phantom morphisms and n,d-rings[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2024,63(01):154-165.
余君丽,张春霞.n,d-（Ext）-phantom 态射与 n,d-环[J].中山大学学报(自然科学版)(中英文),2024,63(01):154-165. DOI： 10.13471/j.cnki.acta.snus.2022A030.

YU Junli,ZHANG Chunxia.On n,d-（Ext）-phantom morphisms and n,d-rings[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2024,63(01):154-165. DOI： 10.13471/j.cnki.acta.snus.2022A030.

(n, d)

-（

E x t

）-phantom 态射与

(n, d)

-环

PDF下载

摘要

引入了

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

-phantom 态射与

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226657&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226654&type=

4.23333359

2.28600001

-phantom 态射的概念. 利用它们，给出了

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

-环、

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226673&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226670&type=

1.60866666

2.28600001

-遗传环以及

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226673&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226670&type=

1.60866666

2.28600001

-正则环的一系列新刻画.

Abstract

The concepts of

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

-phantom and

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226690&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226687&type=

4.99533367

2.70933342

-phantom morphisms are introduced， and are used to characterize

</mo><mi>d</mi></mrow></mfenced></math>

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=

8.55133343

3.89466691

-rings，

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226706&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226703&type=

1.86266661

2.62466669

-hereditary rings and

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226706&type=

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226703&type=

1.86266661

2.62466669

-regular rings in various ways.

关键词

<math id="M19"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-phantom态射<math id="M20"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-<math id="M21"><mi mathvariant="normal">E</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">t</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226657&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226654&type=4.233333592.28600001-phantom态射<math id="M22"><mi>n</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226673&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226670&type=1.608666662.28600001-凝聚环<math id="M23"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-环<math id="M24"><mi>n</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226673&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226670&type=1.608666662.28600001-遗传环

Keywords

<math id="M25"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-phantom morphism<math id="M26"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-<math id="M27"><mi mathvariant="normal">E</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">t</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226690&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226687&type=4.995333672.70933342-phantom morphism<math id="M28"><mi>n</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226706&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226703&type=1.862666612.62466669-coherent ring<math id="M29"><mfenced separators="|"><mrow><mi>n</mi><mo></mo><mi>d</mi></mrow></mfenced></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230559&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53230556&type=8.551333433.89466691-ring<math id="M30"><mi>n</mi></math>https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226706&type=https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=53226703&type=1.862666612.62466669-hereditary ring

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n,d-（Ext）-phantom 态射与 n,d-环

On n,d-（Ext）-phantom morphisms and n,d-rings

DOI：10.13471/j.cnki.acta.snus.2022A030

摘要

Abstract

关键词

Keywords

references

$(n, d)$ -（ $E x t$ ）-phantom 态射与 $(n, d)$ -环

On $(n, d)$ -（ $E x t$ ）-phantom morphisms and $(n, d)$ -rings