Let $A$ be a finite-dimensional associative algebra and $\phi$ a symmetric linear function on $A$. In this note, we will show that the pseudotrace maps defined in [6] are obtained as special cases of well-known symmetric linear functions on the endomorphism rings of projective modules. As an application of our approach, we will give proofs of several propositions and theorems in [6] for an arbitrary finite-dimensional associative algebra.
Publié le : 2010-07-15
Classification:
Symmetric algebras,
symmetric linear functions,
pseudotrace maps,
16S50,
16D40
@article{1279719312,
author = {Arike, Yusuke},
title = {Some remarks on symmetric linear functions and pseudotrace maps},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {86},
number = {1},
year = {2010},
pages = { 119-124},
language = {en},
url = {http://dml.mathdoc.fr/item/1279719312}
}
Arike, Yusuke. Some remarks on symmetric linear functions and pseudotrace maps. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp. 119-124. http://gdmltest.u-ga.fr/item/1279719312/