caa a22 4500 445378905 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10485-010-9242-z doi (NATIONALLICENCE)springer-10.1007/s10485-010-9242-z Quasi Right Factorization Structures as Presheaves [Elektronische Daten] [S. Mousavi, S. Hosseini] In this article the notion of quasi right factorization structure in a category $\cal{X}$ is given. The main result is a one to one correspondence between certain classes of quasi right factorization structures and 2-reflective subobjects of a predefined object in $ \bf{\it{L}}\it{ax}({\it{PrOrd}}^{\bf{\cal{X}}^{op}})$ . Also a characterization of quasi right factorization structures in terms of images is given. As an application, the closure operators are discussed and it is shown that quasi closed members of certain collections are quasi right factorization structures. Finally several examples are furnished. Springer Science+Business Media B.V., 2010 (Quasi) right factorization structure nationallicence Presheaf nationallicence 2-adjoint nationallicence Lax (functor) natural transformation nationallicence Closure operator nationallicence Mousavi S. Mathematics Department, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran aut Hosseini S. Mathematics Department, Shahid Bahonar University of Kerman, Kerman, Iran aut Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 741-756 0927-2852 19:4<741 2011 19 10485 https://doi.org/10.1007/s10485-010-9242-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-010-9242-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mousavi S. Mathematics Department, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran aut NATIONALLICENCE 700 1- Hosseini S. Mathematics Department, Shahid Bahonar University of Kerman, Kerman, Iran aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/4(2011-08-01), 741-756 0927-2852 19:4<741 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer