Coherent rings and absolutely pure precovers. Issue 11 (2nd November 2019)
- Record Type:
- Journal Article
- Title:
- Coherent rings and absolutely pure precovers. Issue 11 (2nd November 2019)
- Main Title:
- Coherent rings and absolutely pure precovers
- Authors:
- Dai, Guocheng
Ding, Nanqing - Abstract:
- Abstract: In this article, we prove that a precovering class F is closed under direct limits provided that F is closed under direct products and pure submodules. As a corollary, we get that a ring R is left coherent if and only if the class of absolutely pure left R -modules is a precovering class.
- Is Part Of:
- Communications in algebra. Volume 47:Issue 11(2019)
- Journal:
- Communications in algebra
- Issue:
- Volume 47:Issue 11(2019)
- Issue Display:
- Volume 47, Issue 11 (2019)
- Year:
- 2019
- Volume:
- 47
- Issue:
- 11
- Issue Sort Value:
- 2019-0047-0011-0000
- Page Start:
- 4743
- Page End:
- 4748
- Publication Date:
- 2019-11-02
- Subjects:
- Absolutely pure module -- coherent ring -- direct limit -- precovering class
16D50 -- 16P70
Algebra -- Periodicals
512.005 - Journal URLs:
- http://www.tandfonline.com/toc/lagb20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00927872.2019.1595637 ↗
- Languages:
- English
- ISSNs:
- 0092-7872
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3359.200000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 17252.xml