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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 326, Pages 9–22 (Mi znsl333)  

Representations of bornological algebras

M. A. Abel

Tartu University
References:
Abstract: 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).
Received: 15.04.2005
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 3, Pages 346–353
DOI: https://doi.org/10.1007/s10958-007-0443-4
Bibliographic databases:
UDC: 517.98, 517.986, 517.982.2
Language: English
Citation: M. A. Abel, “Representations of bornological algebras”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Zap. Nauchn. Sem. POMI, 326, POMI, St. Petersburg, 2005, 9–22; J. Math. Sci. (N. Y.), 140:3 (2007), 346–353
Citation in format AMSBIB
\Bibitem{Abe05}
\by M.~A.~Abel
\paper Representations of bornological algebras
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 326
\pages 9--22
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl333}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2183212}
\zmath{https://zbmath.org/?q=an:1107.46036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 3
\pages 346--353
\crossref{https://doi.org/10.1007/s10958-007-0443-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845722245}
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