S-almost perfect commutative rings
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00505376" target="_blank" >RIV/67985840:_____/19:00505376 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jalgebra.2019.05.018" target="_blank" >http://dx.doi.org/10.1016/j.jalgebra.2019.05.018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jalgebra.2019.05.018" target="_blank" >10.1016/j.jalgebra.2019.05.018</a>
Alternative languages
Result language
angličtina
Original language name
S-almost perfect commutative rings
Original language description
Given a multiplicative subset S in a commutative ring R, we consider S-weakly cotorsion and S-strongly flat R-modules, and show that all R-modules have S-strongly flat covers if and only if all flat R-modules are S-strongly flat. These equivalent conditions hold if and only if the localization R_S is a perfect ring and, for every element s in S, the quotient ring R/sR is a perfect ring, too. The multiplicative subset S in R is allowed to contain zero-divisors.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Algebra
ISSN
0021-8693
e-ISSN
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Volume of the periodical
532
Issue of the periodical within the volume
15 August
Country of publishing house
US - UNITED STATES
Number of pages
34
Pages from-to
323-356
UT code for WoS article
000472815100014
EID of the result in the Scopus database
2-s2.0-85066865657