Geodesic
A Note on Weakly Symmetric Rings
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 531-533

Voir la notice de l'article provenant de la source Cambridge University Press

T. Nakayama showed in [2, Theorem 13] that symmetric algebras have the property that the left and right annihilators of their two-sided ideals are equal. He also gave examples [2, p. 630] to show that QF algebras with this property are not necessarily symmetric, and that weakly symmetric algebras need not have this property. 
Horn, P. J. A Note on Weakly Symmetric Rings. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 531-533. doi: 10.4153/CMB-1974-094-x
@article{10_4153_CMB_1974_094_x,
     author = {Horn, P. J.},
     title = {A {Note} on {Weakly} {Symmetric} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {531--533},
     year = {1974},
     volume = {17},
     number = {4},
     doi = {10.4153/CMB-1974-094-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-094-x/}
}
TY  - JOUR
AU  - Horn, P. J.
TI  - A Note on Weakly Symmetric Rings
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 531
EP  - 533
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-094-x/
DO  - 10.4153/CMB-1974-094-x
ID  - 10_4153_CMB_1974_094_x
ER  - 
%0 Journal Article
%A Horn, P. J.
%T A Note on Weakly Symmetric Rings
%J Canadian mathematical bulletin
%D 1974
%P 531-533
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-094-x/
%R 10.4153/CMB-1974-094-x
%F 10_4153_CMB_1974_094_x

[1] 1. Fuller, K. R., On indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969), 115. Google Scholar

[2] 2. Nakayama, T., On Frobeniusean algebras I, Ann. of Math. 40 (1939), 611-633. Google Scholar

Cité par Sources :