| BONEY, William Nelson, R. GROSSBERG, Michael LIEBERMAN, Jiří ROSICKÝ and S. VASEY. $\mu$-abstract elementary classes and other generalizations. Journal of Pure and Applied Algebra. 2016, vol. 220, No 9, p. 3048-3066. ISSN 0022-4049. Available from: https://dx.doi.org/10.1016/j.jpaa.2016.02.002. |
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@article{1342760,
author = {Boney, William Nelson and Grossberg, R. and Lieberman, Michael and Rosický, Jiří and Vasey, S.},
article_number = {9},
doi = {http://dx.doi.org/10.1016/j.jpaa.2016.02.002},
keywords = {abstract elementary class; accessible category},
language = {eng},
issn = {0022-4049},
journal = {Journal of Pure and Applied Algebra},
title = {$\mu$-abstract elementary classes and other generalizations},
volume = {220},
year = {2016}
}
TY - JOUR
ID - 1342760
AU - Boney, William Nelson - Grossberg, R. - Lieberman, Michael - Rosický, Jiří - Vasey, S.
PY - 2016
TI - $\mu$-abstract elementary classes and other generalizations
JF - Journal of Pure and Applied Algebra
VL - 220
IS - 9
SP - 3048-3066
EP - 3048-3066
SN - 00224049
KW - abstract elementary class
KW - accessible category
N2 - We introduce $\mu$-Abstract Elementary Classes ($\mu$-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirichlet series, and begin to develop their classification theory. Moreover, we note that $\mu$-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent perspectives: not least, the preliminary classification-theoretic results for $\mu$-AECs transfer directly to accessible categories with monomorphisms.
ER -
BONEY, William Nelson, R. GROSSBERG, Michael LIEBERMAN, Jiří ROSICKÝ and S. VASEY. \${}$\backslash$mu\${}-abstract elementary classes and other generalizations. \textit{Journal of Pure and Applied Algebra}. 2016, vol.~220, No~9, p.~3048-3066. ISSN~0022-4049. Available from: https://dx.doi.org/10.1016/j.jpaa.2016.02.002.
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