On modules and rings with the restricted minimum condition
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317494" target="_blank" >RIV/00216208:11320/15:10317494 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/cm140-1-6" target="_blank" >http://dx.doi.org/10.4064/cm140-1-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/cm140-1-6" target="_blank" >10.4064/cm140-1-6</a>
Alternative languages
Result language
angličtina
Original language name
On modules and rings with the restricted minimum condition
Original language description
A module M satisfies the restricted minimum condition if M/N is Artinian for every essential submodule N of M and R is called a right RM-ring whenever it satisfies the restricted minimum condition as a right module. Several structural necessary conditions for particular classes of RM-rings are presented in the paper. Furthermore, a commutative ring R is proved to be an RM-ring if and only if R/Soc(R) is Noetherian and every singular module is semiartinian.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Colloquium Mathematicum
ISSN
0010-1354
e-ISSN
—
Volume of the periodical
2015
Issue of the periodical within the volume
140
Country of publishing house
PL - POLAND
Number of pages
12
Pages from-to
75-86
UT code for WoS article
—
EID of the result in the Scopus database
2-s2.0-84929774080