caa a22 4500 467882673 CHVBK 20180406152724.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10485-006-9048-1 doi (NATIONALLICENCE)springer-10.1007/s10485-006-9048-1 Relative Regular Objects in Categories [Elektronische Daten] [S. Dăscălescu, C. Năstăsescu, A. Tudorache, L. Dăuş] We define the concept of a regular object with respect to another object in an arbitrary category. We present basic properties of regular objects and we study this concept in the special cases of abelian categories and locally finitely generated Grothendieck categories. Applications are given for categories of comodules over a coalgebra and for categories of graded modules, and a link to the theory of generalized inverses of matrices is presented. Some of the techniques we use are new, since dealing with arbitrary categories allows us to pass to the dual category. Springer Science + Business Media B.V., 2006 arbitrary category nationallicence abelian categories nationallicence Grothendieck categories nationallicence Dăscălescu S. University of Bucharest, Facultatea de Matematică, Str. Academiei 14, RO-010014, Bucharest 1, Romania aut Năstăsescu C. University of Bucharest, Facultatea de Matematică, Str. Academiei 14, RO-010014, Bucharest 1, Romania aut Tudorache A. Universitatea de Ştiinţe Economice, Bucharest, Romania aut Dăuş L. Universitatea de Construcţii, Bucharest, Romania aut Applied Categorical Structures Kluwer Academic Publishers 14/5-6(2006-12-01), 567-577 0927-2852 14:5-6<567 2006 14 10485 https://doi.org/10.1007/s10485-006-9048-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-006-9048-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dăscălescu S. University of Bucharest, Facultatea de Matematică, Str. Academiei 14, RO-010014, Bucharest 1, Romania aut NATIONALLICENCE 700 1- Năstăsescu C. University of Bucharest, Facultatea de Matematică, Str. Academiei 14, RO-010014, Bucharest 1, Romania aut NATIONALLICENCE 700 1- Tudorache A. Universitatea de Ştiinţe Economice, Bucharest, Romania aut NATIONALLICENCE 700 1- Dăuş L. Universitatea de Construcţii, Bucharest, Romania aut NATIONALLICENCE 773 0- Applied Categorical Structures Kluwer Academic Publishers 14/5-6(2006-12-01), 567-577 0927-2852 14:5-6<567 2006 14 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer