caa a22 4500 467882576 CHVBK 20180406152724.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10485-006-9050-7 doi (NATIONALLICENCE)springer-10.1007/s10485-006-9050-7 Iovanov Miodrag-Cristian Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-010014, Bucharest, Romania aut The Splitting Problem for Coalgebras: A Direct Approach [Elektronische Daten] [Miodrag-Cristian Iovanov] In this note we give a new and elementary proof of a result of Năstăsescu and Torrecillas (J. Algebra, 281:144-149, 2004) stating that a coalgebra C is finite dimensional if and only if the rational part of any right module M over the dual algebra $C^*$ is a direct summand in M (the splitting problem for coalgebras). Springer Science + Business Media B.V., 2006 torsion theory nationallicence splitting nationallicence coalgebra nationallicence Applied Categorical Structures Kluwer Academic Publishers 14/5-6(2006-12-01), 599-604 0927-2852 14:5-6<599 2006 14 10485 https://doi.org/10.1007/s10485-006-9050-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-006-9050-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Iovanov Miodrag-Cristian Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-010014, Bucharest, Romania aut NATIONALLICENCE 773 0- Applied Categorical Structures Kluwer Academic Publishers 14/5-6(2006-12-01), 599-604 0927-2852 14:5-6<599 2006 14 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer