MOD-RETRACTABLE RINGS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10285431" target="_blank" >RIV/00216208:11320/14:10285431 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1080/00927872.2012.721430" target="_blank" >http://dx.doi.org/10.1080/00927872.2012.721430</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/00927872.2012.721430" target="_blank" >10.1080/00927872.2012.721430</a>

Result language

angličtina

Original language name

MOD-RETRACTABLE RINGS

Original language description

A right module M over a ring R is said to be retractable if Hom(R)(M, N)0 for each nonzero submodule N of M. We show that M circle times(R)RG is a retractable RG-module if and only if M-R is retractable for every finite group G. The ring R is (finitely)mod-retractable if every (finitely generated) right R-module is retractable. Some comparisons between max rings, semiartinian rings, perfect rings, noetherian rings, nonsingular rings, and mod-retractable rings are investigated. In particular, we prove ring-theoretical criteria of right mod-retractability for classes of all commutative, left perfect, and right noetherian rings.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications in Algebra

ISSN

0092-7872

e-ISSN

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Volume of the periodical

42

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

998-1010

UT code for WoS article

000327155600005

EID of the result in the Scopus database

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