$\mu$-abstract elementary classes and other generalizations

• Autoři: BONEY William Nelson; GROSSBERG R.; LIEBERMAN Michael; ROSICKÝ Jiří; VASEY S.
• Rok publikování: 2016
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Journal of Pure and Applied Algebra
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Doi: https://doi.org/10.1016/j.jpaa.2016.02.002
• Obor: Obecná matematika
• Klíčová slova: abstract elementary class; accessible category
• Popis: 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.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku