The proper class generated by weak supplements

We show that, for hereditary rings, the smallest proper classes containing respectively the classes of short exact sequences determined by small submodules, submodules that have supplements and weak supplement submodules coincide. Moreover, we show that this class can be obtained as a natural extension of the class determined by small submodules. We also study injective, projective, coinjective and coprojective objects of this class. We prove that it is coinjectively generated and its global dimension is at most 1. Finally, we describe this class for Dedekind domains in terms of supplement submodules.TUBITAK (107T709

Additional file 1: Figure S1. of Using low-risk factors to generate non-integrated human induced pluripotent stem cells from urine-derived cells

showing expression of factors from episomal vectors. a pE3.1 plasmid construction process chart (upper). Schematic representation of seven constructed episomal vectors. pEF1ι EF1ι promoter, pCMV CMV promoter (below). b Quantitative real-time PCR assay for Oct4, Glis1, Klf4, Sox2, L-Myc, linc-RoR, miR-367, miR-302a, miR-302b, miR-302c, and miR-302d. c Western blot assay for Oct4, Glis1, Klf4, Sox2, and L-Myc carried on episomal vectors. GAPDH was used as the loading control. (PDF 171 kb

Additional file 4: Table S3. of Using low-risk factors to generate non-integrated human induced pluripotent stem cells from urine-derived cells

presenting the method of karyotype analysis. (XLSX 10 kb

Additional file 3: Table S2. of Using low-risk factors to generate non-integrated human induced pluripotent stem cells from urine-derived cells

presenting plasmid combinations used for screening low-risk factors. (XLSX 9 kb