Další formáty:
BibTeX
LaTeX
RIS
@article{402031,
author = {Rosický, J. and Adámek, J. and Borceux, F.},
article_location = {Halifax},
article_number = {7},
keywords = {locally presentable category; injectivity class},
language = {eng},
issn = {1201-561X},
journal = {Theory and Applications of Categories},
title = {More on injectivity in locally presentable categories},
volume = {2002},
year = {2002}
}
TY - JOUR
ID - 402031
AU - Rosický, J. - Adámek, J. - Borceux, F.
PY - 2002
TI - More on injectivity in locally presentable categories
JF - Theory and Applications of Categories
VL - 2002
IS - 7
SP - 148
EP - 148
SN - 1201561X
KW - locally presentable category
KW - injectivity class
N2 - Injectivity with respect to morphisms having k-presentable domains and codomains is characterized: such injectivity classes are precisely those closed under products, k-directed colimits and k-pure subobjects. This sharpens the result of the first two authors. In contrast, for geometric logic an example is found of a class closed under directed colimits and pure subobjects, but not axiomatizable by a geometric theory.
ER -
ROSICKÝ, J., J. ADÁMEK a F. BORCEUX. More on injectivity in locally presentable categories. \textit{Theory and Applications of Categories}. Halifax, 2002, roč.~2002, č.~7, s.~148-160. ISSN~1201-561X.
|
