We give criteria when a full subcategory D of the category of groups has C-universal factorization property(C-UFP)or C-strong universal factorization property(C-SUFP)for a certain category of groups C.As a byproduct,w...We give criteria when a full subcategory D of the category of groups has C-universal factorization property(C-UFP)or C-strong universal factorization property(C-SUFP)for a certain category of groups C.As a byproduct,we give affirmative answers to three unsettled questions in[S.W.Kim,J.B.Lee,Universal factorization property of certain polycyclic groups,J.Pure Appl.Algebra 204(2006)555-567].展开更多
基金supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2016R1D1A1B03931764)supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2016R1D1A1B03932318).
文摘We give criteria when a full subcategory D of the category of groups has C-universal factorization property(C-UFP)or C-strong universal factorization property(C-SUFP)for a certain category of groups C.As a byproduct,we give affirmative answers to three unsettled questions in[S.W.Kim,J.B.Lee,Universal factorization property of certain polycyclic groups,J.Pure Appl.Algebra 204(2006)555-567].
