-free cogenerators
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 87-104.
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We prove in ZFC that an abelian group is cotorsion if and only if Ext for every -free group , and discuss some consequences and related results. This short note includes a condensed overview of the -Black Box for -free constructions in ZFC.
@article{RSMUP_2020__144__87_0, author = {Dugas, Manfred and Herden, Daniel and Shelah, Saharon}, title = {$\aleph_k$-free cogenerators}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {87--104}, volume = {144}, year = {2020}, doi = {10.4171/rsmup/58}, mrnumber = {4186448}, zbl = {07367410}, language = {en}, url = {http://www.numdam.org/articles/10.4171/rsmup/58/} }
TY - JOUR AU - Dugas, Manfred AU - Herden, Daniel AU - Shelah, Saharon TI - $\aleph_k$-free cogenerators JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2020 SP - 87 EP - 104 VL - 144 UR - http://www.numdam.org/articles/10.4171/rsmup/58/ DO - 10.4171/rsmup/58 LA - en ID - RSMUP_2020__144__87_0 ER -
Dugas, Manfred; Herden, Daniel; Shelah, Saharon. $\aleph_k$-free cogenerators. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 87-104. doi : 10.4171/rsmup/58. http://www.numdam.org/articles/10.4171/rsmup/58/
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