arXiv math/99101621999-10-28math.LO

Infinitary Axiomatizability of Slender and Cotorsion-Free Groups

Oren Kolman, Saharon Shelah

发表信息：: Bull. Belg. Math. Soc. Simon Stevin 7 No. 4 (2000) 623--629

英文摘要：

The classes of slender and cotorsion-free abelian groups are axiomatizable in the infinitary logics L_{infty,omega_1} and L_{infty,omega}, respectively. The Baer-Specker group Z^omega is not L_{infty,omega_1}-equivalent to a slender group.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。