Radicals which define factorization systems
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 4, page 601-607
- ISSN: 0010-2628
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topGardner, Barry J.. "Radicals which define factorization systems." Commentationes Mathematicae Universitatis Carolinae 32.4 (1991): 601-607. <http://eudml.org/doc/247297>.
@article{Gardner1991,
abstract = {A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.},
author = {Gardner, Barry J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {radical class; factorization system; radical class; strict radical; factorization system; supernilpotent radical; non-associative rings},
language = {eng},
number = {4},
pages = {601-607},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Radicals which define factorization systems},
url = {http://eudml.org/doc/247297},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Gardner, Barry J.
TI - Radicals which define factorization systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 4
SP - 601
EP - 607
AB - A method due to Fay and Walls for associating a factorization system with a radical is examined for associative rings. It is shown that a factorization system results if and only if the radical is strict and supernilpotent. For groups and non-associative rings, no radical defines a factorization system.
LA - eng
KW - radical class; factorization system; radical class; strict radical; factorization system; supernilpotent radical; non-associative rings
UR - http://eudml.org/doc/247297
ER -
References
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