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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