Journal article
Frobenius structural matrix algebras
Linear algebra and its applications, Vol.439(10), pp.3166-3172
11/15/2013
DOI: 10.1016/j.laa.2013.09.007
Abstract
We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field k is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over k.
Details
- Title: Subtitle
- Frobenius structural matrix algebras
- Creators
- S Dăscălescu - University of Bucharest, Facultatea de Matematică, Str. Academiei 14, Bucharest 1, RO-010014, RomaniaM.C Iovanov - University of Bucharest, Facultatea de Matematică, Str. Academiei 14, Bucharest 1, RO-010014, RomaniaS Preduţ - University of Bucharest, Facultatea de Matematică, Str. Academiei 14, Bucharest 1, RO-010014, Romania
- Resource Type
- Journal article
- Publication Details
- Linear algebra and its applications, Vol.439(10), pp.3166-3172
- DOI
- 10.1016/j.laa.2013.09.007
- ISSN
- 0024-3795
- eISSN
- 1873-1856
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/501100006595, name: UEFISCDI, award: PN-II-ID-PCE-2011-3-0635; DOI: 10.13039/501100004266, name: CNCSIS, award: 253/5.10.2011; DOI: 10.13039/501100004895, name: European Social Fund; name: Romanian Government, award: HRD/107/1.5/S/82514
- Language
- English
- Date published
- 11/15/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985914702771
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