Journal article
Complete Path Algebras and Rational Modules
Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.56(3), pp.349-364
01/01/2013
Abstract
We study rational modules over complete path and monomial algebras, and the problem of when rational modules over the dual C* of a coalgebra C are closed under extensions, equivalently, when is the functor Rat a torsion functor. We show that corefiexivity, closure under extensions of finite dimensional rational modules and of arbitrary modules are Morita invariant, and that they are preserved by subcoalgebras. We obtain new large classes of examples of coalgebras with torsion functor, coming from monomial coalgebras, and answer some questions in the literature.
Details
- Title: Subtitle
- Complete Path Algebras and Rational Modules
- Creators
- M. C Iovanov - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, Vol.56(3), pp.349-364
- Publisher
- SOC MATEMATICE ROMANIA
- ISSN
- 1220-3874
- eISSN
- 2065-0264
- Number of pages
- 16
- Grant note
- 253/5.10.2011 / CNCSIS; Consiliul National al Cercetarii Stiintifice (CNCS) European Social Fund within the Sectorial Operational Program Human Resources Development FN-II-ID-PCE-2011-3-0635 / UEFISCDI; Consiliul National al Cercetarii Stiintifice (CNCS); Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii (UEFISCDI) POSDRU/89/1.5/S/58852 / Project "Postdoctoral program for training scientific researchers"
- Language
- English
- Date published
- 01/01/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9984241043302771
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