Regularly weakly based modules over right perfect rings and Dedekind domains
Czechoslovak Mathematical Journal (2017)
- Volume: 67, Issue: 2, page 367-377
- ISSN: 0011-4642
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topHrbek, Michal, and Růžička, Pavel. "Regularly weakly based modules over right perfect rings and Dedekind domains." Czechoslovak Mathematical Journal 67.2 (2017): 367-377. <http://eudml.org/doc/288203>.
@article{Hrbek2017,
abstract = {A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and (2) regularly weakly based modules over Dedekind domains.},
author = {Hrbek, Michal, Růžička, Pavel},
journal = {Czechoslovak Mathematical Journal},
keywords = {weak basis; regularly weakly based ring; Dedekind domain; perfect ring},
language = {eng},
number = {2},
pages = {367-377},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularly weakly based modules over right perfect rings and Dedekind domains},
url = {http://eudml.org/doc/288203},
volume = {67},
year = {2017},
}
TY - JOUR
AU - Hrbek, Michal
AU - Růžička, Pavel
TI - Regularly weakly based modules over right perfect rings and Dedekind domains
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 2
SP - 367
EP - 377
AB - A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and (2) regularly weakly based modules over Dedekind domains.
LA - eng
KW - weak basis; regularly weakly based ring; Dedekind domain; perfect ring
UR - http://eudml.org/doc/288203
ER -
References
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