On some Results Related to Köthe's Conjecture

Agata, Smoktunowicz. "On some Results Related to Köthe's Conjecture." Serdica Mathematical Journal 27.2 (2001): 159-170. <http://eudml.org/doc/11532>.

@article{Agata2001,
abstract = {The Köthe conjecture states that if a ring R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. Although for more than 70 years significant progress has been made, it is still open in general. In this paper we survey some results related to the Köthe conjecture as well as some equivalent problems.},
author = {Agata, Smoktunowicz},
journal = {Serdica Mathematical Journal},
keywords = {Associative Ring; Nil Ideal; Jacobson Radical; Köthe conjecture; nil ideals; nilpotent ideals; radicals of rings; survey; simple nil algebras},
language = {eng},
number = {2},
pages = {159-170},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On some Results Related to Köthe's Conjecture},
url = {http://eudml.org/doc/11532},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Agata, Smoktunowicz
TI - On some Results Related to Köthe's Conjecture
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 2
SP - 159
EP - 170
AB - The Köthe conjecture states that if a ring R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. Although for more than 70 years significant progress has been made, it is still open in general. In this paper we survey some results related to the Köthe conjecture as well as some equivalent problems.
LA - eng
KW - Associative Ring; Nil Ideal; Jacobson Radical; Köthe conjecture; nil ideals; nilpotent ideals; radicals of rings; survey; simple nil algebras
UR - http://eudml.org/doc/11532
ER -