Geodesic
Representations of bornological algebras
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 9-22 
M. A. Abel. Representations of bornological algebras. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 9-22. http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a1/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Bounded representations of bornological algebras are considered. The left and right bornological radicals in bornological algebras are introduced. It is shown that the left (right) bornological radical of a bornological algebra $A$ is equal to the intersection of all bornologically closed maximal regular left (respectively, right) ideals of $A$ and these both radicals of $A$ and the Jacobson radical of $A$ coincide when $A$ is an advertive and simplicial bornological algebra (in particular, a bornological $Q$-algebra).

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