Geodesic
Simple multilinear algebras and hermitian operators
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 251-259

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The paper studies multilinear algebras, known as comtrans algebras, that are determined by so-called $T$-Hermitian matrices over an arbitrary field. The main result of this paper shows that the comtrans algebra of $n$-dimensional $T$-Hermitian matrices furnishes a simple comtrans algebra.
Classification : 15A69, 17A40
Keywords: comtrans algebras; $T$-Hermitian matrices; simple algebras 
@article{CMUC_2000__41_2_a4,
     author = {Fuad, T. S. R. and Phillips, J. D. and Shen, X. R. and Smith, J. D. H.},
     title = {Simple multilinear algebras and hermitian operators},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {251--259},
     publisher = {mathdoc},
     volume = {41},
     number = {2},
     year = {2000},
     mrnumber = {1780869},
     zbl = {1037.17005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a4/}
}
TY  - JOUR
AU  - Fuad, T. S. R.
AU  - Phillips, J. D.
AU  - Shen, X. R.
AU  - Smith, J. D. H.
TI  - Simple multilinear algebras and hermitian operators
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2000
SP  - 251
EP  - 259
VL  - 41
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a4/
LA  - en
ID  - CMUC_2000__41_2_a4
ER  - 
%0 Journal Article
%A Fuad, T. S. R.
%A Phillips, J. D.
%A Shen, X. R.
%A Smith, J. D. H.
%T Simple multilinear algebras and hermitian operators
%J Commentationes Mathematicae Universitatis Carolinae
%D 2000
%P 251-259
%V 41
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a4/
%G en
%F CMUC_2000__41_2_a4
Fuad, T. S. R.; Phillips, J. D.; Shen, X. R.; Smith, J. D. H. Simple multilinear algebras and hermitian operators. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 2, pp. 251-259. http://geodesic.mathdoc.fr/item/CMUC_2000__41_2_a4/